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Finding the Fourth Proportional to 526.47, 789.69 and 161.25

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Solution

The fourth proportional to 526.47, 789.69 and 161.25 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.47 : 789.69 = 161.25 : x
  2. Step 2: Convert to fraction form
    526.47/789.69 = 161.25/x
  3. Step 3: Cross multiply
    526.47x = 789.69 × 161.25
  4. Step 4: Simplify right side
    526.47x = 127,337.51
  5. Step 5: Solve for x
    x = 127,337.51/526.47
  6. Step 6: Final answer
    x = 241.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.