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Finding the Fourth Proportional to 377.00, 565.33 and 145.72

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Solution

The fourth proportional to 377.00, 565.33 and 145.72 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.00 : 565.33 = 145.72 : x
  2. Step 2: Convert to fraction form
    377.00/565.33 = 145.72/x
  3. Step 3: Cross multiply
    377.00x = 565.33 × 145.72
  4. Step 4: Simplify right side
    377.00x = 82,382.09
  5. Step 5: Solve for x
    x = 82,382.09/377.00
  6. Step 6: Final answer
    x = 218.52

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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.