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Finding the Fourth Proportional to 212.78, 293.65 and 175.87

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Solution

The fourth proportional to 212.78, 293.65 and 175.87 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.78 : 293.65 = 175.87 : x
  2. Step 2: Convert to fraction form
    212.78/293.65 = 175.87/x
  3. Step 3: Cross multiply
    212.78x = 293.65 × 175.87
  4. Step 4: Simplify right side
    212.78x = 51,644.65
  5. Step 5: Solve for x
    x = 51,644.65/212.78
  6. Step 6: Final answer
    x = 242.72

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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.