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Finding the Fourth Proportional to 526.78, 790.17 and 161.61

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Solution

The fourth proportional to 526.78, 790.17 and 161.61 is: 242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 790.17 = 161.61 : x
  2. Step 2: Convert to fraction form
    526.78/790.17 = 161.61/x
  3. Step 3: Cross multiply
    526.78x = 790.17 × 161.61
  4. Step 4: Simplify right side
    526.78x = 127,699.37
  5. Step 5: Solve for x
    x = 127,699.37/526.78
  6. Step 6: Final answer
    x = 242.42

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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.