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Finding the Fourth Proportional to 212.30, 292.95 and 138.50

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Solution

The fourth proportional to 212.30, 292.95 and 138.50 is: 191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.30 : 292.95 = 138.50 : x
  2. Step 2: Convert to fraction form
    212.30/292.95 = 138.50/x
  3. Step 3: Cross multiply
    212.30x = 292.95 × 138.50
  4. Step 4: Simplify right side
    212.30x = 40,572.11
  5. Step 5: Solve for x
    x = 40,572.11/212.30
  6. Step 6: Final answer
    x = 191.11

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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.