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Finding the Fourth Proportional to 152.50, 229.02 and 135.76

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Solution

The fourth proportional to 152.50, 229.02 and 135.76 is: 203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.50 : 229.02 = 135.76 : x
  2. Step 2: Convert to fraction form
    152.50/229.02 = 135.76/x
  3. Step 3: Cross multiply
    152.50x = 229.02 × 135.76
  4. Step 4: Simplify right side
    152.50x = 31,091.76
  5. Step 5: Solve for x
    x = 31,091.76/152.50
  6. Step 6: Final answer
    x = 203.88

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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.