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Finding the Fourth Proportional to 380.61, 570.66 and 149.36

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Solution

The fourth proportional to 380.61, 570.66 and 149.36 is: 223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.61 : 570.66 = 149.36 : x
  2. Step 2: Convert to fraction form
    380.61/570.66 = 149.36/x
  3. Step 3: Cross multiply
    380.61x = 570.66 × 149.36
  4. Step 4: Simplify right side
    380.61x = 85,233.06
  5. Step 5: Solve for x
    x = 85,233.06/380.61
  6. Step 6: Final answer
    x = 223.94

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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.