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Finding the Fourth Proportional to 309.60, 463.73 and 165.02

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Solution

The fourth proportional to 309.60, 463.73 and 165.02 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 463.73 = 165.02 : x
  2. Step 2: Convert to fraction form
    309.60/463.73 = 165.02/x
  3. Step 3: Cross multiply
    309.60x = 463.73 × 165.02
  4. Step 4: Simplify right side
    309.60x = 76,521.58
  5. Step 5: Solve for x
    x = 76,521.58/309.60
  6. Step 6: Final answer
    x = 247.16

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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.