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Finding the Fourth Proportional to 302.22, 416.75 and 269.06

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Solution

The fourth proportional to 302.22, 416.75 and 269.06 is: 371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.22 : 416.75 = 269.06 : x
  2. Step 2: Convert to fraction form
    302.22/416.75 = 269.06/x
  3. Step 3: Cross multiply
    302.22x = 416.75 × 269.06
  4. Step 4: Simplify right side
    302.22x = 112,127.33
  5. Step 5: Solve for x
    x = 112,127.33/302.22
  6. Step 6: Final answer
    x = 371.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.