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Finding the Fourth Proportional to 390.14, 585.14 and 146.59

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Solution

The fourth proportional to 390.14, 585.14 and 146.59 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.14 : 585.14 = 146.59 : x
  2. Step 2: Convert to fraction form
    390.14/585.14 = 146.59/x
  3. Step 3: Cross multiply
    390.14x = 585.14 × 146.59
  4. Step 4: Simplify right side
    390.14x = 85,772.01
  5. Step 5: Solve for x
    x = 85,772.01/390.14
  6. Step 6: Final answer
    x = 219.85

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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.