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Finding the Fourth Proportional to 371.42, 557.19 and 188.74

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Solution

The fourth proportional to 371.42, 557.19 and 188.74 is: 283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.42 : 557.19 = 188.74 : x
  2. Step 2: Convert to fraction form
    371.42/557.19 = 188.74/x
  3. Step 3: Cross multiply
    371.42x = 557.19 × 188.74
  4. Step 4: Simplify right side
    371.42x = 105,164.04
  5. Step 5: Solve for x
    x = 105,164.04/371.42
  6. Step 6: Final answer
    x = 283.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.