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Finding the Fourth Proportional to 231.17, 318.86 and 148.14

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Solution

The fourth proportional to 231.17, 318.86 and 148.14 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.17 : 318.86 = 148.14 : x
  2. Step 2: Convert to fraction form
    231.17/318.86 = 148.14/x
  3. Step 3: Cross multiply
    231.17x = 318.86 × 148.14
  4. Step 4: Simplify right side
    231.17x = 47,236.72
  5. Step 5: Solve for x
    x = 47,236.72/231.17
  6. Step 6: Final answer
    x = 204.34

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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.