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Finding the Fourth Proportional to 310.51, 465.85 and 173.66

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Solution

The fourth proportional to 310.51, 465.85 and 173.66 is: 260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 465.85 = 173.66 : x
  2. Step 2: Convert to fraction form
    310.51/465.85 = 173.66/x
  3. Step 3: Cross multiply
    310.51x = 465.85 × 173.66
  4. Step 4: Simplify right side
    310.51x = 80,897.18
  5. Step 5: Solve for x
    x = 80,897.18/310.51
  6. Step 6: Final answer
    x = 260.53

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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.