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Finding the Fourth Proportional to 214.52, 296.16 and 144.68

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Solution

The fourth proportional to 214.52, 296.16 and 144.68 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 296.16 = 144.68 : x
  2. Step 2: Convert to fraction form
    214.52/296.16 = 144.68/x
  3. Step 3: Cross multiply
    214.52x = 296.16 × 144.68
  4. Step 4: Simplify right side
    214.52x = 42,848.43
  5. Step 5: Solve for x
    x = 42,848.43/214.52
  6. Step 6: Final answer
    x = 199.74

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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.