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Finding the Fourth Proportional to 161.78, 242.31 and 145.76

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Solution

The fourth proportional to 161.78, 242.31 and 145.76 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 242.31 = 145.76 : x
  2. Step 2: Convert to fraction form
    161.78/242.31 = 145.76/x
  3. Step 3: Cross multiply
    161.78x = 242.31 × 145.76
  4. Step 4: Simplify right side
    161.78x = 35,319.11
  5. Step 5: Solve for x
    x = 35,319.11/161.78
  6. Step 6: Final answer
    x = 218.32

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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.