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Finding the Fourth Proportional to 380.15, 570.24 and 102.54

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Solution

The fourth proportional to 380.15, 570.24 and 102.54 is: 153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.15 : 570.24 = 102.54 : x
  2. Step 2: Convert to fraction form
    380.15/570.24 = 102.54/x
  3. Step 3: Cross multiply
    380.15x = 570.24 × 102.54
  4. Step 4: Simplify right side
    380.15x = 58,472.41
  5. Step 5: Solve for x
    x = 58,472.41/380.15
  6. Step 6: Final answer
    x = 153.82

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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.