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Finding the Fourth Proportional to 390.38, 585.75 and 146.92

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Solution

The fourth proportional to 390.38, 585.75 and 146.92 is: 220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.38 : 585.75 = 146.92 : x
  2. Step 2: Convert to fraction form
    390.38/585.75 = 146.92/x
  3. Step 3: Cross multiply
    390.38x = 585.75 × 146.92
  4. Step 4: Simplify right side
    390.38x = 86,058.39
  5. Step 5: Solve for x
    x = 86,058.39/390.38
  6. Step 6: Final answer
    x = 220.45

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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.