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Finding the Fourth Proportional to 438.64, 658.06 and 146.14

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Solution

The fourth proportional to 438.64, 658.06 and 146.14 is: 219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 658.06 = 146.14 : x
  2. Step 2: Convert to fraction form
    438.64/658.06 = 146.14/x
  3. Step 3: Cross multiply
    438.64x = 658.06 × 146.14
  4. Step 4: Simplify right side
    438.64x = 96,168.89
  5. Step 5: Solve for x
    x = 96,168.89/438.64
  6. Step 6: Final answer
    x = 219.24

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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.