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Finding the Fourth Proportional to 214.01, 294.90 and 154.80

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Solution

The fourth proportional to 214.01, 294.90 and 154.80 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.01 : 294.90 = 154.80 : x
  2. Step 2: Convert to fraction form
    214.01/294.90 = 154.80/x
  3. Step 3: Cross multiply
    214.01x = 294.90 × 154.80
  4. Step 4: Simplify right side
    214.01x = 45,650.49
  5. Step 5: Solve for x
    x = 45,650.49/214.01
  6. Step 6: Final answer
    x = 213.32

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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.