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Finding the Fourth Proportional to 354.00, 531.14 and 158.86

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Solution

The fourth proportional to 354.00, 531.14 and 158.86 is: 238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.00 : 531.14 = 158.86 : x
  2. Step 2: Convert to fraction form
    354.00/531.14 = 158.86/x
  3. Step 3: Cross multiply
    354.00x = 531.14 × 158.86
  4. Step 4: Simplify right side
    354.00x = 84,376.77
  5. Step 5: Solve for x
    x = 84,376.77/354.00
  6. Step 6: Final answer
    x = 238.35

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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.