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Finding the Fourth Proportional to 274.42, 378.78 and 187.24

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Solution

The fourth proportional to 274.42, 378.78 and 187.24 is: 258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.42 : 378.78 = 187.24 : x
  2. Step 2: Convert to fraction form
    274.42/378.78 = 187.24/x
  3. Step 3: Cross multiply
    274.42x = 378.78 × 187.24
  4. Step 4: Simplify right side
    274.42x = 70,922.77
  5. Step 5: Solve for x
    x = 70,922.77/274.42
  6. Step 6: Final answer
    x = 258.45

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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.