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Finding the Fourth Proportional to 229, 343.65 and 100.75

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Solution

The fourth proportional to 229, 343.65 and 100.75 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 343.65 = 100.75 : x
  2. Step 2: Convert to fraction form
    229/343.65 = 100.75/x
  3. Step 3: Cross multiply
    229x = 343.65 × 100.75
  4. Step 4: Simplify right side
    229x = 34,622.74
  5. Step 5: Solve for x
    x = 34,622.74/229
  6. Step 6: Final answer
    x = 151.19

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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.