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Finding the Fourth Proportional to 214.11, 320.93 and 98.65

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Solution

The fourth proportional to 214.11, 320.93 and 98.65 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.11 : 320.93 = 98.65 : x
  2. Step 2: Convert to fraction form
    214.11/320.93 = 98.65/x
  3. Step 3: Cross multiply
    214.11x = 320.93 × 98.65
  4. Step 4: Simplify right side
    214.11x = 31,660.02
  5. Step 5: Solve for x
    x = 31,660.02/214.11
  6. Step 6: Final answer
    x = 147.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.