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Finding the Fourth Proportional to 162.42, 242.54 and 160.70

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Solution

The fourth proportional to 162.42, 242.54 and 160.70 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 242.54 = 160.70 : x
  2. Step 2: Convert to fraction form
    162.42/242.54 = 160.70/x
  3. Step 3: Cross multiply
    162.42x = 242.54 × 160.70
  4. Step 4: Simplify right side
    162.42x = 38,974.16
  5. Step 5: Solve for x
    x = 38,974.16/162.42
  6. Step 6: Final answer
    x = 239.96

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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.