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Finding the Fourth Proportional to 214.65, 296.19 and 177.66

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Solution

The fourth proportional to 214.65, 296.19 and 177.66 is: 245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 296.19 = 177.66 : x
  2. Step 2: Convert to fraction form
    214.65/296.19 = 177.66/x
  3. Step 3: Cross multiply
    214.65x = 296.19 × 177.66
  4. Step 4: Simplify right side
    214.65x = 52,621.12
  5. Step 5: Solve for x
    x = 52,621.12/214.65
  6. Step 6: Final answer
    x = 245.15

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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.