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Finding the Fourth Proportional to 380.47, 570.19 and 136.77

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Solution

The fourth proportional to 380.47, 570.19 and 136.77 is: 204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.47 : 570.19 = 136.77 : x
  2. Step 2: Convert to fraction form
    380.47/570.19 = 136.77/x
  3. Step 3: Cross multiply
    380.47x = 570.19 × 136.77
  4. Step 4: Simplify right side
    380.47x = 77,984.89
  5. Step 5: Solve for x
    x = 77,984.89/380.47
  6. Step 6: Final answer
    x = 204.97

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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.