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Finding the Fourth Proportional to 224.66, 310.14 and 141.77

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Solution

The fourth proportional to 224.66, 310.14 and 141.77 is: 195.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.66 : 310.14 = 141.77 : x
  2. Step 2: Convert to fraction form
    224.66/310.14 = 141.77/x
  3. Step 3: Cross multiply
    224.66x = 310.14 × 141.77
  4. Step 4: Simplify right side
    224.66x = 43,967.00
  5. Step 5: Solve for x
    x = 43,967.00/224.66
  6. Step 6: Final answer
    x = 195.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.