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Finding the Fourth Proportional to 253.08, 348.78 and 187.80

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Solution

The fourth proportional to 253.08, 348.78 and 187.80 is: 258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.08 : 348.78 = 187.80 : x
  2. Step 2: Convert to fraction form
    253.08/348.78 = 187.80/x
  3. Step 3: Cross multiply
    253.08x = 348.78 × 187.80
  4. Step 4: Simplify right side
    253.08x = 65,500.88
  5. Step 5: Solve for x
    x = 65,500.88/253.08
  6. Step 6: Final answer
    x = 258.81

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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.