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Finding the Fourth Proportional to 295.64, 442.90 and 173.56

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Solution

The fourth proportional to 295.64, 442.90 and 173.56 is: 260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 442.90 = 173.56 : x
  2. Step 2: Convert to fraction form
    295.64/442.90 = 173.56/x
  3. Step 3: Cross multiply
    295.64x = 442.90 × 173.56
  4. Step 4: Simplify right side
    295.64x = 76,869.72
  5. Step 5: Solve for x
    x = 76,869.72/295.64
  6. Step 6: Final answer
    x = 260.01

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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.