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Finding the Fourth Proportional to 285.16, 425.99 and 239.02

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Solution

The fourth proportional to 285.16, 425.99 and 239.02 is: 357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.16 : 425.99 = 239.02 : x
  2. Step 2: Convert to fraction form
    285.16/425.99 = 239.02/x
  3. Step 3: Cross multiply
    285.16x = 425.99 × 239.02
  4. Step 4: Simplify right side
    285.16x = 101,820.13
  5. Step 5: Solve for x
    x = 101,820.13/285.16
  6. Step 6: Final answer
    x = 357.06

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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.