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Finding the Fourth Proportional to 390.18, 584.50 and 184.13

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Solution

The fourth proportional to 390.18, 584.50 and 184.13 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.18 : 584.50 = 184.13 : x
  2. Step 2: Convert to fraction form
    390.18/584.50 = 184.13/x
  3. Step 3: Cross multiply
    390.18x = 584.50 × 184.13
  4. Step 4: Simplify right side
    390.18x = 107,620.60
  5. Step 5: Solve for x
    x = 107,620.60/390.18
  6. Step 6: Final answer
    x = 275.82

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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.