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Finding the Fourth Proportional to 212.32, 292.97 and 189.08

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Solution

The fourth proportional to 212.32, 292.97 and 189.08 is: 260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.32 : 292.97 = 189.08 : x
  2. Step 2: Convert to fraction form
    212.32/292.97 = 189.08/x
  3. Step 3: Cross multiply
    212.32x = 292.97 × 189.08
  4. Step 4: Simplify right side
    212.32x = 55,395.46
  5. Step 5: Solve for x
    x = 55,395.46/212.32
  6. Step 6: Final answer
    x = 260.90

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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.