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Finding the Fourth Proportional to 295.45, 443.08 and 173.77

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Solution

The fourth proportional to 295.45, 443.08 and 173.77 is: 260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 443.08 = 173.77 : x
  2. Step 2: Convert to fraction form
    295.45/443.08 = 173.77/x
  3. Step 3: Cross multiply
    295.45x = 443.08 × 173.77
  4. Step 4: Simplify right side
    295.45x = 76,994.01
  5. Step 5: Solve for x
    x = 76,994.01/295.45
  6. Step 6: Final answer
    x = 260.60

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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.