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Finding the Fourth Proportional to 541.93, 812.87 and 176.71

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Solution

The fourth proportional to 541.93, 812.87 and 176.71 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.93 : 812.87 = 176.71 : x
  2. Step 2: Convert to fraction form
    541.93/812.87 = 176.71/x
  3. Step 3: Cross multiply
    541.93x = 812.87 × 176.71
  4. Step 4: Simplify right side
    541.93x = 143,642.26
  5. Step 5: Solve for x
    x = 143,642.26/541.93
  6. Step 6: Final answer
    x = 265.06

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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.