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Finding the Fourth Proportional to 224.77, 310.26 and 135.11

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Solution

The fourth proportional to 224.77, 310.26 and 135.11 is: 186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.77 : 310.26 = 135.11 : x
  2. Step 2: Convert to fraction form
    224.77/310.26 = 135.11/x
  3. Step 3: Cross multiply
    224.77x = 310.26 × 135.11
  4. Step 4: Simplify right side
    224.77x = 41,920.34
  5. Step 5: Solve for x
    x = 41,920.34/224.77
  6. Step 6: Final answer
    x = 186.50

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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.