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Finding the Fourth Proportional to 371.40, 557.03 and 176.40

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Solution

The fourth proportional to 371.40, 557.03 and 176.40 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.40 : 557.03 = 176.40 : x
  2. Step 2: Convert to fraction form
    371.40/557.03 = 176.40/x
  3. Step 3: Cross multiply
    371.40x = 557.03 × 176.40
  4. Step 4: Simplify right side
    371.40x = 98,259.21
  5. Step 5: Solve for x
    x = 98,259.21/371.40
  6. Step 6: Final answer
    x = 264.56

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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.