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Finding the Fourth Proportional to 390.64, 585.48 and 146.87

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Solution

The fourth proportional to 390.64, 585.48 and 146.87 is: 220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.64 : 585.48 = 146.87 : x
  2. Step 2: Convert to fraction form
    390.64/585.48 = 146.87/x
  3. Step 3: Cross multiply
    390.64x = 585.48 × 146.87
  4. Step 4: Simplify right side
    390.64x = 85,989.45
  5. Step 5: Solve for x
    x = 85,989.45/390.64
  6. Step 6: Final answer
    x = 220.12

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Why These Related Problems?

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