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Finding the Fourth Proportional to 376.98, 565.56 and 145.89

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Solution

The fourth proportional to 376.98, 565.56 and 145.89 is: 218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.98 : 565.56 = 145.89 : x
  2. Step 2: Convert to fraction form
    376.98/565.56 = 145.89/x
  3. Step 3: Cross multiply
    376.98x = 565.56 × 145.89
  4. Step 4: Simplify right side
    376.98x = 82,509.55
  5. Step 5: Solve for x
    x = 82,509.55/376.98
  6. Step 6: Final answer
    x = 218.87

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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.