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Finding the Fourth Proportional to 376.65, 564.98 and 102.77

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Solution

The fourth proportional to 376.65, 564.98 and 102.77 is: 154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.65 : 564.98 = 102.77 : x
  2. Step 2: Convert to fraction form
    376.65/564.98 = 102.77/x
  3. Step 3: Cross multiply
    376.65x = 564.98 × 102.77
  4. Step 4: Simplify right side
    376.65x = 58,061.77
  5. Step 5: Solve for x
    x = 58,061.77/376.65
  6. Step 6: Final answer
    x = 154.15

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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.