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Finding the Fourth Proportional to 162.07, 242.70 and 123.39

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Solution

The fourth proportional to 162.07, 242.70 and 123.39 is: 184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.07 : 242.70 = 123.39 : x
  2. Step 2: Convert to fraction form
    162.07/242.70 = 123.39/x
  3. Step 3: Cross multiply
    162.07x = 242.70 × 123.39
  4. Step 4: Simplify right side
    162.07x = 29,946.29
  5. Step 5: Solve for x
    x = 29,946.29/162.07
  6. Step 6: Final answer
    x = 184.78

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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.