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Finding the Fourth Proportional to 212.40, 292.63 and 177.23

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Solution

The fourth proportional to 212.40, 292.63 and 177.23 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.40 : 292.63 = 177.23 : x
  2. Step 2: Convert to fraction form
    212.40/292.63 = 177.23/x
  3. Step 3: Cross multiply
    212.40x = 292.63 × 177.23
  4. Step 4: Simplify right side
    212.40x = 51,862.81
  5. Step 5: Solve for x
    x = 51,862.81/212.40
  6. Step 6: Final answer
    x = 244.18

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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.