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Finding the Fourth Proportional to 268.16, 400.16 and 237.38

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Solution

The fourth proportional to 268.16, 400.16 and 237.38 is: 354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.16 : 400.16 = 237.38 : x
  2. Step 2: Convert to fraction form
    268.16/400.16 = 237.38/x
  3. Step 3: Cross multiply
    268.16x = 400.16 × 237.38
  4. Step 4: Simplify right side
    268.16x = 94,989.98
  5. Step 5: Solve for x
    x = 94,989.98/268.16
  6. Step 6: Final answer
    x = 354.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.