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Finding the Fourth Proportional to 542.11, 812.97 and 176.81

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Solution

The fourth proportional to 542.11, 812.97 and 176.81 is: 265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.11 : 812.97 = 176.81 : x
  2. Step 2: Convert to fraction form
    542.11/812.97 = 176.81/x
  3. Step 3: Cross multiply
    542.11x = 812.97 × 176.81
  4. Step 4: Simplify right side
    542.11x = 143,741.23
  5. Step 5: Solve for x
    x = 143,741.23/542.11
  6. Step 6: Final answer
    x = 265.15

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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.