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Finding the Fourth Proportional to 386.76, 580.14 and 194.16

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Solution

The fourth proportional to 386.76, 580.14 and 194.16 is: 291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 580.14 = 194.16 : x
  2. Step 2: Convert to fraction form
    386.76/580.14 = 194.16/x
  3. Step 3: Cross multiply
    386.76x = 580.14 × 194.16
  4. Step 4: Simplify right side
    386.76x = 112,639.98
  5. Step 5: Solve for x
    x = 112,639.98/386.76
  6. Step 6: Final answer
    x = 291.24

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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.