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Finding the Fourth Proportional to 526.07, 789.05 and 160.87

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Solution

The fourth proportional to 526.07, 789.05 and 160.87 is: 241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.07 : 789.05 = 160.87 : x
  2. Step 2: Convert to fraction form
    526.07/789.05 = 160.87/x
  3. Step 3: Cross multiply
    526.07x = 789.05 × 160.87
  4. Step 4: Simplify right side
    526.07x = 126,934.47
  5. Step 5: Solve for x
    x = 126,934.47/526.07
  6. Step 6: Final answer
    x = 241.29

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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.