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Finding the Fourth Proportional to 541.59, 811.89 and 176.14

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Solution

The fourth proportional to 541.59, 811.89 and 176.14 is: 264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.59 : 811.89 = 176.14 : x
  2. Step 2: Convert to fraction form
    541.59/811.89 = 176.14/x
  3. Step 3: Cross multiply
    541.59x = 811.89 × 176.14
  4. Step 4: Simplify right side
    541.59x = 143,007.32
  5. Step 5: Solve for x
    x = 143,007.32/541.59
  6. Step 6: Final answer
    x = 264.05

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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.