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Finding the Fourth Proportional to 224.02, 309.07 and 135.47

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Solution

The fourth proportional to 224.02, 309.07 and 135.47 is: 186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 309.07 = 135.47 : x
  2. Step 2: Convert to fraction form
    224.02/309.07 = 135.47/x
  3. Step 3: Cross multiply
    224.02x = 309.07 × 135.47
  4. Step 4: Simplify right side
    224.02x = 41,869.89
  5. Step 5: Solve for x
    x = 41,869.89/224.02
  6. Step 6: Final answer
    x = 186.91

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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.