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Finding the Fourth Proportional to 212.90, 317.88 and 188

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Solution

The fourth proportional to 212.90, 317.88 and 188 is: 280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.90 : 317.88 = 188 : x
  2. Step 2: Convert to fraction form
    212.90/317.88 = 188/x
  3. Step 3: Cross multiply
    212.90x = 317.88 × 188
  4. Step 4: Simplify right side
    212.90x = 59,761.44
  5. Step 5: Solve for x
    x = 59,761.44/212.90
  6. Step 6: Final answer
    x = 280.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.