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Finding the Fourth Proportional to 526.73, 790.16 and 161.42

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Solution

The fourth proportional to 526.73, 790.16 and 161.42 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.73 : 790.16 = 161.42 : x
  2. Step 2: Convert to fraction form
    526.73/790.16 = 161.42/x
  3. Step 3: Cross multiply
    526.73x = 790.16 × 161.42
  4. Step 4: Simplify right side
    526.73x = 127,542.87
  5. Step 5: Solve for x
    x = 127,542.87/526.73
  6. Step 6: Final answer
    x = 242.14

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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.