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Finding the Fourth Proportional to 152.54, 228.84 and 132.49

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Solution

The fourth proportional to 152.54, 228.84 and 132.49 is: 198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 228.84 = 132.49 : x
  2. Step 2: Convert to fraction form
    152.54/228.84 = 132.49/x
  3. Step 3: Cross multiply
    152.54x = 228.84 × 132.49
  4. Step 4: Simplify right side
    152.54x = 30,319.01
  5. Step 5: Solve for x
    x = 30,319.01/152.54
  6. Step 6: Final answer
    x = 198.76

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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.