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Finding the Fourth Proportional to 354.35, 531.53 and 148.91

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Solution

The fourth proportional to 354.35, 531.53 and 148.91 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.35 : 531.53 = 148.91 : x
  2. Step 2: Convert to fraction form
    354.35/531.53 = 148.91/x
  3. Step 3: Cross multiply
    354.35x = 531.53 × 148.91
  4. Step 4: Simplify right side
    354.35x = 79,146.73
  5. Step 5: Solve for x
    x = 79,146.73/354.35
  6. Step 6: Final answer
    x = 223.36

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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.