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Finding the Fourth Proportional to 526.48, 789.64 and 161.30

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Solution

The fourth proportional to 526.48, 789.64 and 161.30 is: 241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.48 : 789.64 = 161.30 : x
  2. Step 2: Convert to fraction form
    526.48/789.64 = 161.30/x
  3. Step 3: Cross multiply
    526.48x = 789.64 × 161.30
  4. Step 4: Simplify right side
    526.48x = 127,368.93
  5. Step 5: Solve for x
    x = 127,368.93/526.48
  6. Step 6: Final answer
    x = 241.93

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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.