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Finding the Fourth Proportional to 231.09, 318.66 and 148.20

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Solution

The fourth proportional to 231.09, 318.66 and 148.20 is: 204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.09 : 318.66 = 148.20 : x
  2. Step 2: Convert to fraction form
    231.09/318.66 = 148.20/x
  3. Step 3: Cross multiply
    231.09x = 318.66 × 148.20
  4. Step 4: Simplify right side
    231.09x = 47,225.41
  5. Step 5: Solve for x
    x = 47,225.41/231.09
  6. Step 6: Final answer
    x = 204.36

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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.