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Finding the Fourth Proportional to 376.78, 565.34 and 157.55

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Solution

The fourth proportional to 376.78, 565.34 and 157.55 is: 236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.78 : 565.34 = 157.55 : x
  2. Step 2: Convert to fraction form
    376.78/565.34 = 157.55/x
  3. Step 3: Cross multiply
    376.78x = 565.34 × 157.55
  4. Step 4: Simplify right side
    376.78x = 89,069.32
  5. Step 5: Solve for x
    x = 89,069.32/376.78
  6. Step 6: Final answer
    x = 236.40

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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.