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Finding the Fourth Proportional to 541.10, 811.76 and 175.86

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Solution

The fourth proportional to 541.10, 811.76 and 175.86 is: 263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.10 : 811.76 = 175.86 : x
  2. Step 2: Convert to fraction form
    541.10/811.76 = 175.86/x
  3. Step 3: Cross multiply
    541.10x = 811.76 × 175.86
  4. Step 4: Simplify right side
    541.10x = 142,756.11
  5. Step 5: Solve for x
    x = 142,756.11/541.10
  6. Step 6: Final answer
    x = 263.83

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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.