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Finding the Fourth Proportional to 302.02, 416.28 and 231.10

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Solution

The fourth proportional to 302.02, 416.28 and 231.10 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.02 : 416.28 = 231.10 : x
  2. Step 2: Convert to fraction form
    302.02/416.28 = 231.10/x
  3. Step 3: Cross multiply
    302.02x = 416.28 × 231.10
  4. Step 4: Simplify right side
    302.02x = 96,202.31
  5. Step 5: Solve for x
    x = 96,202.31/302.02
  6. Step 6: Final answer
    x = 318.53

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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.