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Finding the Fourth Proportional to 295.59, 442.59 and 173.79

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Solution

The fourth proportional to 295.59, 442.59 and 173.79 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.59 : 442.59 = 173.79 : x
  2. Step 2: Convert to fraction form
    295.59/442.59 = 173.79/x
  3. Step 3: Cross multiply
    295.59x = 442.59 × 173.79
  4. Step 4: Simplify right side
    295.59x = 76,917.72
  5. Step 5: Solve for x
    x = 76,917.72/295.59
  6. Step 6: Final answer
    x = 260.22

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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.