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Finding the Fourth Proportional to 371.07, 556.88 and 148.74

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Solution

The fourth proportional to 371.07, 556.88 and 148.74 is: 223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.07 : 556.88 = 148.74 : x
  2. Step 2: Convert to fraction form
    371.07/556.88 = 148.74/x
  3. Step 3: Cross multiply
    371.07x = 556.88 × 148.74
  4. Step 4: Simplify right side
    371.07x = 82,829.59
  5. Step 5: Solve for x
    x = 82,829.59/371.07
  6. Step 6: Final answer
    x = 223.22

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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.