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Finding the Fourth Proportional to 137.14, 206.98 and 137.14

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Solution

The fourth proportional to 137.14, 206.98 and 137.14 is: 206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.14 : 206.98 = 137.14 : x
  2. Step 2: Convert to fraction form
    137.14/206.98 = 137.14/x
  3. Step 3: Cross multiply
    137.14x = 206.98 × 137.14
  4. Step 4: Simplify right side
    137.14x = 28,385.24
  5. Step 5: Solve for x
    x = 28,385.24/137.14
  6. Step 6: Final answer
    x = 206.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.