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Finding the Fourth Proportional to 212.65, 319.28 and 110.01

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Solution

The fourth proportional to 212.65, 319.28 and 110.01 is: 165.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.65 : 319.28 = 110.01 : x
  2. Step 2: Convert to fraction form
    212.65/319.28 = 110.01/x
  3. Step 3: Cross multiply
    212.65x = 319.28 × 110.01
  4. Step 4: Simplify right side
    212.65x = 35,123.99
  5. Step 5: Solve for x
    x = 35,123.99/212.65
  6. Step 6: Final answer
    x = 165.17

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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.