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Finding the Fourth Proportional to 229.77, 317.02 and 142.47

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Solution

The fourth proportional to 229.77, 317.02 and 142.47 is: 196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.77 : 317.02 = 142.47 : x
  2. Step 2: Convert to fraction form
    229.77/317.02 = 142.47/x
  3. Step 3: Cross multiply
    229.77x = 317.02 × 142.47
  4. Step 4: Simplify right side
    229.77x = 45,165.84
  5. Step 5: Solve for x
    x = 45,165.84/229.77
  6. Step 6: Final answer
    x = 196.57

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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.