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Finding the Fourth Proportional to 231, 318.70 and 137.76

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Solution

The fourth proportional to 231, 318.70 and 137.76 is: 190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 318.70 = 137.76 : x
  2. Step 2: Convert to fraction form
    231/318.70 = 137.76/x
  3. Step 3: Cross multiply
    231x = 318.70 × 137.76
  4. Step 4: Simplify right side
    231x = 43,904.11
  5. Step 5: Solve for x
    x = 43,904.11/231
  6. Step 6: Final answer
    x = 190.06

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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.