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Finding the Fourth Proportional to 247.70, 341.82 and 135.67

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Solution

The fourth proportional to 247.70, 341.82 and 135.67 is: 187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 341.82 = 135.67 : x
  2. Step 2: Convert to fraction form
    247.70/341.82 = 135.67/x
  3. Step 3: Cross multiply
    247.70x = 341.82 × 135.67
  4. Step 4: Simplify right side
    247.70x = 46,374.04
  5. Step 5: Solve for x
    x = 46,374.04/247.70
  6. Step 6: Final answer
    x = 187.22

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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.