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Finding the Fourth Proportional to 214.70, 296.28 and 137

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Solution

The fourth proportional to 214.70, 296.28 and 137 is: 189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 296.28 = 137 : x
  2. Step 2: Convert to fraction form
    214.70/296.28 = 137/x
  3. Step 3: Cross multiply
    214.70x = 296.28 × 137
  4. Step 4: Simplify right side
    214.70x = 40,590.36
  5. Step 5: Solve for x
    x = 40,590.36/214.70
  6. Step 6: Final answer
    x = 189.06

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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.