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Finding the Fourth Proportional to 390.36, 585.61 and 184.82

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Solution

The fourth proportional to 390.36, 585.61 and 184.82 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.36 : 585.61 = 184.82 : x
  2. Step 2: Convert to fraction form
    390.36/585.61 = 184.82/x
  3. Step 3: Cross multiply
    390.36x = 585.61 × 184.82
  4. Step 4: Simplify right side
    390.36x = 108,232.44
  5. Step 5: Solve for x
    x = 108,232.44/390.36
  6. Step 6: Final answer
    x = 277.26

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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.