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Finding the Fourth Proportional to 373.04, 558.75 and 177.75

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Solution

The fourth proportional to 373.04, 558.75 and 177.75 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.04 : 558.75 = 177.75 : x
  2. Step 2: Convert to fraction form
    373.04/558.75 = 177.75/x
  3. Step 3: Cross multiply
    373.04x = 558.75 × 177.75
  4. Step 4: Simplify right side
    373.04x = 99,318.48
  5. Step 5: Solve for x
    x = 99,318.48/373.04
  6. Step 6: Final answer
    x = 266.24

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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.