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Finding the Fourth Proportional to 214.65, 296.10 and 144.63

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Solution

The fourth proportional to 214.65, 296.10 and 144.63 is: 199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 296.10 = 144.63 : x
  2. Step 2: Convert to fraction form
    214.65/296.10 = 144.63/x
  3. Step 3: Cross multiply
    214.65x = 296.10 × 144.63
  4. Step 4: Simplify right side
    214.65x = 42,824.94
  5. Step 5: Solve for x
    x = 42,824.94/214.65
  6. Step 6: Final answer
    x = 199.51

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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.