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Finding the Fourth Proportional to 162.50, 242.56 and 143.04

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Solution

The fourth proportional to 162.50, 242.56 and 143.04 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.50 : 242.56 = 143.04 : x
  2. Step 2: Convert to fraction form
    162.50/242.56 = 143.04/x
  3. Step 3: Cross multiply
    162.50x = 242.56 × 143.04
  4. Step 4: Simplify right side
    162.50x = 34,694.57
  5. Step 5: Solve for x
    x = 34,694.57/162.50
  6. Step 6: Final answer
    x = 213.51

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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.