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Finding the Fourth Proportional to 526.65, 789.80 and 179.92

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Solution

The fourth proportional to 526.65, 789.80 and 179.92 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.65 : 789.80 = 179.92 : x
  2. Step 2: Convert to fraction form
    526.65/789.80 = 179.92/x
  3. Step 3: Cross multiply
    526.65x = 789.80 × 179.92
  4. Step 4: Simplify right side
    526.65x = 142,101.92
  5. Step 5: Solve for x
    x = 142,101.92/526.65
  6. Step 6: Final answer
    x = 269.82

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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.