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Finding the Fourth Proportional to 526.97, 790.56 and 161.74

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Solution

The fourth proportional to 526.97, 790.56 and 161.74 is: 242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.97 : 790.56 = 161.74 : x
  2. Step 2: Convert to fraction form
    526.97/790.56 = 161.74/x
  3. Step 3: Cross multiply
    526.97x = 790.56 × 161.74
  4. Step 4: Simplify right side
    526.97x = 127,866.16
  5. Step 5: Solve for x
    x = 127,866.16/526.97
  6. Step 6: Final answer
    x = 242.65

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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.