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Finding the Fourth Proportional to 379.84, 570.06 and 136.60

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Solution

The fourth proportional to 379.84, 570.06 and 136.60 is: 205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 570.06 = 136.60 : x
  2. Step 2: Convert to fraction form
    379.84/570.06 = 136.60/x
  3. Step 3: Cross multiply
    379.84x = 570.06 × 136.60
  4. Step 4: Simplify right side
    379.84x = 77,870.20
  5. Step 5: Solve for x
    x = 77,870.20/379.84
  6. Step 6: Final answer
    x = 205.01

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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.