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Finding the Fourth Proportional to 214.80, 296.64 and 137.28

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Solution

The fourth proportional to 214.80, 296.64 and 137.28 is: 189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 296.64 = 137.28 : x
  2. Step 2: Convert to fraction form
    214.80/296.64 = 137.28/x
  3. Step 3: Cross multiply
    214.80x = 296.64 × 137.28
  4. Step 4: Simplify right side
    214.80x = 40,722.74
  5. Step 5: Solve for x
    x = 40,722.74/214.80
  6. Step 6: Final answer
    x = 189.58

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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.