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Finding the Fourth Proportional to 159.50, 238.93 and 152.96

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Solution

The fourth proportional to 159.50, 238.93 and 152.96 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 238.93 = 152.96 : x
  2. Step 2: Convert to fraction form
    159.50/238.93 = 152.96/x
  3. Step 3: Cross multiply
    159.50x = 238.93 × 152.96
  4. Step 4: Simplify right side
    159.50x = 36,545.16
  5. Step 5: Solve for x
    x = 36,545.16/159.50
  6. Step 6: Final answer
    x = 229.12

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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.