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Finding the Fourth Proportional to 214.62, 296.18 and 144.76

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Solution

The fourth proportional to 214.62, 296.18 and 144.76 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 296.18 = 144.76 : x
  2. Step 2: Convert to fraction form
    214.62/296.18 = 144.76/x
  3. Step 3: Cross multiply
    214.62x = 296.18 × 144.76
  4. Step 4: Simplify right side
    214.62x = 42,875.02
  5. Step 5: Solve for x
    x = 42,875.02/214.62
  6. Step 6: Final answer
    x = 199.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.