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Finding the Fourth Proportional to 212.47, 317.25 and 190.36

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Solution

The fourth proportional to 212.47, 317.25 and 190.36 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.47 : 317.25 = 190.36 : x
  2. Step 2: Convert to fraction form
    212.47/317.25 = 190.36/x
  3. Step 3: Cross multiply
    212.47x = 317.25 × 190.36
  4. Step 4: Simplify right side
    212.47x = 60,391.95
  5. Step 5: Solve for x
    x = 60,391.95/212.47
  6. Step 6: Final answer
    x = 284.24

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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.