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Finding the Fourth Proportional to 212.47, 317.06 and 189.46

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Solution

The fourth proportional to 212.47, 317.06 and 189.46 is: 282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.47 : 317.06 = 189.46 : x
  2. Step 2: Convert to fraction form
    212.47/317.06 = 189.46/x
  3. Step 3: Cross multiply
    212.47x = 317.06 × 189.46
  4. Step 4: Simplify right side
    212.47x = 60,070.11
  5. Step 5: Solve for x
    x = 60,070.11/212.47
  6. Step 6: Final answer
    x = 282.72

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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.