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Finding the Fourth Proportional to 212.83, 319.24 and 56.65

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Solution

The fourth proportional to 212.83, 319.24 and 56.65 is: 84.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.83 : 319.24 = 56.65 : x
  2. Step 2: Convert to fraction form
    212.83/319.24 = 56.65/x
  3. Step 3: Cross multiply
    212.83x = 319.24 × 56.65
  4. Step 4: Simplify right side
    212.83x = 18,085.46
  5. Step 5: Solve for x
    x = 18,085.46/212.83
  6. Step 6: Final answer
    x = 84.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.