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Finding the Fourth Proportional to 214.95, 296.64 and 121.70

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Solution

The fourth proportional to 214.95, 296.64 and 121.70 is: 167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.95 : 296.64 = 121.70 : x
  2. Step 2: Convert to fraction form
    214.95/296.64 = 121.70/x
  3. Step 3: Cross multiply
    214.95x = 296.64 × 121.70
  4. Step 4: Simplify right side
    214.95x = 36,101.09
  5. Step 5: Solve for x
    x = 36,101.09/214.95
  6. Step 6: Final answer
    x = 167.95

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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.