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Finding the Fourth Proportional to 224.34, 309.66 and 135.84

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Solution

The fourth proportional to 224.34, 309.66 and 135.84 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.34 : 309.66 = 135.84 : x
  2. Step 2: Convert to fraction form
    224.34/309.66 = 135.84/x
  3. Step 3: Cross multiply
    224.34x = 309.66 × 135.84
  4. Step 4: Simplify right side
    224.34x = 42,064.21
  5. Step 5: Solve for x
    x = 42,064.21/224.34
  6. Step 6: Final answer
    x = 187.50

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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.