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Finding the Fourth Proportional to 212.66, 317.20 and 187.28

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Solution

The fourth proportional to 212.66, 317.20 and 187.28 is: 279.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.66 : 317.20 = 187.28 : x
  2. Step 2: Convert to fraction form
    212.66/317.20 = 187.28/x
  3. Step 3: Cross multiply
    212.66x = 317.20 × 187.28
  4. Step 4: Simplify right side
    212.66x = 59,405.22
  5. Step 5: Solve for x
    x = 59,405.22/212.66
  6. Step 6: Final answer
    x = 279.34

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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.