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Finding the Fourth Proportional to 376.45, 564.77 and 157.00

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Solution

The fourth proportional to 376.45, 564.77 and 157.00 is: 235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.45 : 564.77 = 157.00 : x
  2. Step 2: Convert to fraction form
    376.45/564.77 = 157.00/x
  3. Step 3: Cross multiply
    376.45x = 564.77 × 157.00
  4. Step 4: Simplify right side
    376.45x = 88,669.61
  5. Step 5: Solve for x
    x = 88,669.61/376.45
  6. Step 6: Final answer
    x = 235.54

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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.