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Finding the Fourth Proportional to 372.01, 558.15 and 177.07

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Solution

The fourth proportional to 372.01, 558.15 and 177.07 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.01 : 558.15 = 177.07 : x
  2. Step 2: Convert to fraction form
    372.01/558.15 = 177.07/x
  3. Step 3: Cross multiply
    372.01x = 558.15 × 177.07
  4. Step 4: Simplify right side
    372.01x = 98,831.62
  5. Step 5: Solve for x
    x = 98,831.62/372.01
  6. Step 6: Final answer
    x = 265.67

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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.