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Finding the Fourth Proportional to 390.25, 585.60 and 173.81

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Solution

The fourth proportional to 390.25, 585.60 and 173.81 is: 260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.25 : 585.60 = 173.81 : x
  2. Step 2: Convert to fraction form
    390.25/585.60 = 173.81/x
  3. Step 3: Cross multiply
    390.25x = 585.60 × 173.81
  4. Step 4: Simplify right side
    390.25x = 101,783.95
  5. Step 5: Solve for x
    x = 101,783.95/390.25
  6. Step 6: Final answer
    x = 260.82

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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.