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Finding the Fourth Proportional to 294.81, 442.20 and 173.01

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Solution

The fourth proportional to 294.81, 442.20 and 173.01 is: 259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.81 : 442.20 = 173.01 : x
  2. Step 2: Convert to fraction form
    294.81/442.20 = 173.01/x
  3. Step 3: Cross multiply
    294.81x = 442.20 × 173.01
  4. Step 4: Simplify right side
    294.81x = 76,505.02
  5. Step 5: Solve for x
    x = 76,505.02/294.81
  6. Step 6: Final answer
    x = 259.51

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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.