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Finding the Fourth Proportional to 213.74, 319.06 and 188

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Solution

The fourth proportional to 213.74, 319.06 and 188 is: 280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.74 : 319.06 = 188 : x
  2. Step 2: Convert to fraction form
    213.74/319.06 = 188/x
  3. Step 3: Cross multiply
    213.74x = 319.06 × 188
  4. Step 4: Simplify right side
    213.74x = 59,983.28
  5. Step 5: Solve for x
    x = 59,983.28/213.74
  6. Step 6: Final answer
    x = 280.64

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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.