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Finding the Fourth Proportional to 212.36, 316.88 and 188.06

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Solution

The fourth proportional to 212.36, 316.88 and 188.06 is: 280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.36 : 316.88 = 188.06 : x
  2. Step 2: Convert to fraction form
    212.36/316.88 = 188.06/x
  3. Step 3: Cross multiply
    212.36x = 316.88 × 188.06
  4. Step 4: Simplify right side
    212.36x = 59,592.45
  5. Step 5: Solve for x
    x = 59,592.45/212.36
  6. Step 6: Final answer
    x = 280.62

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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.