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Finding the Fourth Proportional to 542.10, 812.61 and 176.64

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Solution

The fourth proportional to 542.10, 812.61 and 176.64 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.10 : 812.61 = 176.64 : x
  2. Step 2: Convert to fraction form
    542.10/812.61 = 176.64/x
  3. Step 3: Cross multiply
    542.10x = 812.61 × 176.64
  4. Step 4: Simplify right side
    542.10x = 143,539.43
  5. Step 5: Solve for x
    x = 143,539.43/542.10
  6. Step 6: Final answer
    x = 264.78

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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.