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Finding the Fourth Proportional to 309.94, 465.10 and 165.76

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Solution

The fourth proportional to 309.94, 465.10 and 165.76 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 465.10 = 165.76 : x
  2. Step 2: Convert to fraction form
    309.94/465.10 = 165.76/x
  3. Step 3: Cross multiply
    309.94x = 465.10 × 165.76
  4. Step 4: Simplify right side
    309.94x = 77,094.98
  5. Step 5: Solve for x
    x = 77,094.98/309.94
  6. Step 6: Final answer
    x = 248.74

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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.