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Finding the Fourth Proportional to 240.32, 360.20 and 142.86

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Solution

The fourth proportional to 240.32, 360.20 and 142.86 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.32 : 360.20 = 142.86 : x
  2. Step 2: Convert to fraction form
    240.32/360.20 = 142.86/x
  3. Step 3: Cross multiply
    240.32x = 360.20 × 142.86
  4. Step 4: Simplify right side
    240.32x = 51,459.08
  5. Step 5: Solve for x
    x = 51,459.08/240.32
  6. Step 6: Final answer
    x = 214.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.