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Finding the Fourth Proportional to 214.77, 296.42 and 144.93

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Solution

The fourth proportional to 214.77, 296.42 and 144.93 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.77 : 296.42 = 144.93 : x
  2. Step 2: Convert to fraction form
    214.77/296.42 = 144.93/x
  3. Step 3: Cross multiply
    214.77x = 296.42 × 144.93
  4. Step 4: Simplify right side
    214.77x = 42,959.43
  5. Step 5: Solve for x
    x = 42,959.43/214.77
  6. Step 6: Final answer
    x = 200.03

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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.