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Finding the Fourth Proportional to 376.51, 564.66 and 145.31

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Solution

The fourth proportional to 376.51, 564.66 and 145.31 is: 217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.51 : 564.66 = 145.31 : x
  2. Step 2: Convert to fraction form
    376.51/564.66 = 145.31/x
  3. Step 3: Cross multiply
    376.51x = 564.66 × 145.31
  4. Step 4: Simplify right side
    376.51x = 82,050.74
  5. Step 5: Solve for x
    x = 82,050.74/376.51
  6. Step 6: Final answer
    x = 217.92

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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.