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Finding the Fourth Proportional to 373.12, 559.23 and 178

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Solution

The fourth proportional to 373.12, 559.23 and 178 is: 266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.12 : 559.23 = 178 : x
  2. Step 2: Convert to fraction form
    373.12/559.23 = 178/x
  3. Step 3: Cross multiply
    373.12x = 559.23 × 178
  4. Step 4: Simplify right side
    373.12x = 99,542.94
  5. Step 5: Solve for x
    x = 99,542.94/373.12
  6. Step 6: Final answer
    x = 266.79

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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.