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Finding the Fourth Proportional to 214.81, 296.47 and 159.46

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Solution

The fourth proportional to 214.81, 296.47 and 159.46 is: 220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.81 : 296.47 = 159.46 : x
  2. Step 2: Convert to fraction form
    214.81/296.47 = 159.46/x
  3. Step 3: Cross multiply
    214.81x = 296.47 × 159.46
  4. Step 4: Simplify right side
    214.81x = 47,275.11
  5. Step 5: Solve for x
    x = 47,275.11/214.81
  6. Step 6: Final answer
    x = 220.08

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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.