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Finding the Fourth Proportional to 274.02, 378.14 and 157.58

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Solution

The fourth proportional to 274.02, 378.14 and 157.58 is: 217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.02 : 378.14 = 157.58 : x
  2. Step 2: Convert to fraction form
    274.02/378.14 = 157.58/x
  3. Step 3: Cross multiply
    274.02x = 378.14 × 157.58
  4. Step 4: Simplify right side
    274.02x = 59,587.30
  5. Step 5: Solve for x
    x = 59,587.30/274.02
  6. Step 6: Final answer
    x = 217.46

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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.