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Finding the Fourth Proportional to 253.18, 380.04 and 145.18

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Solution

The fourth proportional to 253.18, 380.04 and 145.18 is: 217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 380.04 = 145.18 : x
  2. Step 2: Convert to fraction form
    253.18/380.04 = 145.18/x
  3. Step 3: Cross multiply
    253.18x = 380.04 × 145.18
  4. Step 4: Simplify right side
    253.18x = 55,174.21
  5. Step 5: Solve for x
    x = 55,174.21/253.18
  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.