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Finding the Fourth Proportional to 221.52, 332.28 and 156.72

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Solution

The fourth proportional to 221.52, 332.28 and 156.72 is: 235.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.52 : 332.28 = 156.72 : x
  2. Step 2: Convert to fraction form
    221.52/332.28 = 156.72/x
  3. Step 3: Cross multiply
    221.52x = 332.28 × 156.72
  4. Step 4: Simplify right side
    221.52x = 52,074.92
  5. Step 5: Solve for x
    x = 52,074.92/221.52
  6. Step 6: Final answer
    x = 235.08

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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.