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Finding the Fourth Proportional to 214.68, 296.23 and 144.89

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Solution

The fourth proportional to 214.68, 296.23 and 144.89 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.68 : 296.23 = 144.89 : x
  2. Step 2: Convert to fraction form
    214.68/296.23 = 144.89/x
  3. Step 3: Cross multiply
    214.68x = 296.23 × 144.89
  4. Step 4: Simplify right side
    214.68x = 42,920.71
  5. Step 5: Solve for x
    x = 42,920.71/214.68
  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.