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Finding the Fourth Proportional to 373.79, 560.26 and 186.08

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Solution

The fourth proportional to 373.79, 560.26 and 186.08 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.79 : 560.26 = 186.08 : x
  2. Step 2: Convert to fraction form
    373.79/560.26 = 186.08/x
  3. Step 3: Cross multiply
    373.79x = 560.26 × 186.08
  4. Step 4: Simplify right side
    373.79x = 104,249.91
  5. Step 5: Solve for x
    x = 104,249.91/373.79
  6. Step 6: Final answer
    x = 278.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.