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Finding the Fourth Proportional to 152.70, 228.24 and 125.70

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Solution

The fourth proportional to 152.70, 228.24 and 125.70 is: 187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.70 : 228.24 = 125.70 : x
  2. Step 2: Convert to fraction form
    152.70/228.24 = 125.70/x
  3. Step 3: Cross multiply
    152.70x = 228.24 × 125.70
  4. Step 4: Simplify right side
    152.70x = 28,689.77
  5. Step 5: Solve for x
    x = 28,689.77/152.70
  6. Step 6: Final answer
    x = 187.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.