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Finding the Fourth Proportional to 211.80, 292.17 and 146.34

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Solution

The fourth proportional to 211.80, 292.17 and 146.34 is: 201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.80 : 292.17 = 146.34 : x
  2. Step 2: Convert to fraction form
    211.80/292.17 = 146.34/x
  3. Step 3: Cross multiply
    211.80x = 292.17 × 146.34
  4. Step 4: Simplify right side
    211.80x = 42,756.16
  5. Step 5: Solve for x
    x = 42,756.16/211.80
  6. Step 6: Final answer
    x = 201.87

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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.