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Finding the Fourth Proportional to 242.58, 362.48 and 237.10

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Solution

The fourth proportional to 242.58, 362.48 and 237.10 is: 354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 362.48 = 237.10 : x
  2. Step 2: Convert to fraction form
    242.58/362.48 = 237.10/x
  3. Step 3: Cross multiply
    242.58x = 362.48 × 237.10
  4. Step 4: Simplify right side
    242.58x = 85,944.01
  5. Step 5: Solve for x
    x = 85,944.01/242.58
  6. Step 6: Final answer
    x = 354.29

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