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Finding the Fourth Proportional to 541.26, 811.90 and 176.05

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Solution

The fourth proportional to 541.26, 811.90 and 176.05 is: 264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.26 : 811.90 = 176.05 : x
  2. Step 2: Convert to fraction form
    541.26/811.90 = 176.05/x
  3. Step 3: Cross multiply
    541.26x = 811.90 × 176.05
  4. Step 4: Simplify right side
    541.26x = 142,934.11
  5. Step 5: Solve for x
    x = 142,934.11/541.26
  6. Step 6: Final answer
    x = 264.08

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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.