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Finding the Fourth Proportional to 212.07, 292.62 and 123.57

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Solution

The fourth proportional to 212.07, 292.62 and 123.57 is: 170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.07 : 292.62 = 123.57 : x
  2. Step 2: Convert to fraction form
    212.07/292.62 = 123.57/x
  3. Step 3: Cross multiply
    212.07x = 292.62 × 123.57
  4. Step 4: Simplify right side
    212.07x = 36,159.05
  5. Step 5: Solve for x
    x = 36,159.05/212.07
  6. Step 6: Final answer
    x = 170.51

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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.