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Finding the Fourth Proportional to 253.65, 380.67 and 221.25

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Solution

The fourth proportional to 253.65, 380.67 and 221.25 is: 332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.65 : 380.67 = 221.25 : x
  2. Step 2: Convert to fraction form
    253.65/380.67 = 221.25/x
  3. Step 3: Cross multiply
    253.65x = 380.67 × 221.25
  4. Step 4: Simplify right side
    253.65x = 84,223.24
  5. Step 5: Solve for x
    x = 84,223.24/253.65
  6. Step 6: Final answer
    x = 332.05

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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.