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Finding the Fourth Proportional to 376.69, 564.82 and 145.63

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Solution

The fourth proportional to 376.69, 564.82 and 145.63 is: 218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.69 : 564.82 = 145.63 : x
  2. Step 2: Convert to fraction form
    376.69/564.82 = 145.63/x
  3. Step 3: Cross multiply
    376.69x = 564.82 × 145.63
  4. Step 4: Simplify right side
    376.69x = 82,254.74
  5. Step 5: Solve for x
    x = 82,254.74/376.69
  6. Step 6: Final answer
    x = 218.36

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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.