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Finding the Fourth Proportional to 213.48, 294.30 and 187.02

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Solution

The fourth proportional to 213.48, 294.30 and 187.02 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 294.30 = 187.02 : x
  2. Step 2: Convert to fraction form
    213.48/294.30 = 187.02/x
  3. Step 3: Cross multiply
    213.48x = 294.30 × 187.02
  4. Step 4: Simplify right side
    213.48x = 55,039.99
  5. Step 5: Solve for x
    x = 55,039.99/213.48
  6. Step 6: Final answer
    x = 257.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.