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Finding the Fourth Proportional to 354.16, 531.46 and 148.90

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Solution

The fourth proportional to 354.16, 531.46 and 148.90 is: 223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.16 : 531.46 = 148.90 : x
  2. Step 2: Convert to fraction form
    354.16/531.46 = 148.90/x
  3. Step 3: Cross multiply
    354.16x = 531.46 × 148.90
  4. Step 4: Simplify right side
    354.16x = 79,132.69
  5. Step 5: Solve for x
    x = 79,132.69/354.16
  6. Step 6: Final answer
    x = 223.44

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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.