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Finding the Fourth Proportional to 214.80, 296.52 and 144.83

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Solution

The fourth proportional to 214.80, 296.52 and 144.83 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.80 : 296.52 = 144.83 : x
  2. Step 2: Convert to fraction form
    214.80/296.52 = 144.83/x
  3. Step 3: Cross multiply
    214.80x = 296.52 × 144.83
  4. Step 4: Simplify right side
    214.80x = 42,944.99
  5. Step 5: Solve for x
    x = 42,944.99/214.80
  6. Step 6: Final answer
    x = 199.93

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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.