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Finding the Fourth Proportional to 212.24, 292.74 and 146.76

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Solution

The fourth proportional to 212.24, 292.74 and 146.76 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.24 : 292.74 = 146.76 : x
  2. Step 2: Convert to fraction form
    212.24/292.74 = 146.76/x
  3. Step 3: Cross multiply
    212.24x = 292.74 × 146.76
  4. Step 4: Simplify right side
    212.24x = 42,962.52
  5. Step 5: Solve for x
    x = 42,962.52/212.24
  6. Step 6: Final answer
    x = 202.42

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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.