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Finding the Fourth Proportional to 302.13, 416.93 and 164.13

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Solution

The fourth proportional to 302.13, 416.93 and 164.13 is: 226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.13 : 416.93 = 164.13 : x
  2. Step 2: Convert to fraction form
    302.13/416.93 = 164.13/x
  3. Step 3: Cross multiply
    302.13x = 416.93 × 164.13
  4. Step 4: Simplify right side
    302.13x = 68,430.72
  5. Step 5: Solve for x
    x = 68,430.72/302.13
  6. Step 6: Final answer
    x = 226.49

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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.