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Finding the Fourth Proportional to 373.05, 559.35 and 177.80

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Solution

The fourth proportional to 373.05, 559.35 and 177.80 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.05 : 559.35 = 177.80 : x
  2. Step 2: Convert to fraction form
    373.05/559.35 = 177.80/x
  3. Step 3: Cross multiply
    373.05x = 559.35 × 177.80
  4. Step 4: Simplify right side
    373.05x = 99,449.63
  5. Step 5: Solve for x
    x = 99,449.63/373.05
  6. Step 6: Final answer
    x = 266.59

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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.