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Finding the Fourth Proportional to 152.58, 229.71 and 123.96

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Solution

The fourth proportional to 152.58, 229.71 and 123.96 is: 186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 229.71 = 123.96 : x
  2. Step 2: Convert to fraction form
    152.58/229.71 = 123.96/x
  3. Step 3: Cross multiply
    152.58x = 229.71 × 123.96
  4. Step 4: Simplify right side
    152.58x = 28,474.85
  5. Step 5: Solve for x
    x = 28,474.85/152.58
  6. Step 6: Final answer
    x = 186.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.