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Finding the Fourth Proportional to 212.65, 317.68 and 134.99

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Solution

The fourth proportional to 212.65, 317.68 and 134.99 is: 201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.65 : 317.68 = 134.99 : x
  2. Step 2: Convert to fraction form
    212.65/317.68 = 134.99/x
  3. Step 3: Cross multiply
    212.65x = 317.68 × 134.99
  4. Step 4: Simplify right side
    212.65x = 42,883.79
  5. Step 5: Solve for x
    x = 42,883.79/212.65
  6. Step 6: Final answer
    x = 201.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.