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Finding the Fourth Proportional to 175.84, 265.04 and 165.36

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Solution

The fourth proportional to 175.84, 265.04 and 165.36 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.84 : 265.04 = 165.36 : x
  2. Step 2: Convert to fraction form
    175.84/265.04 = 165.36/x
  3. Step 3: Cross multiply
    175.84x = 265.04 × 165.36
  4. Step 4: Simplify right side
    175.84x = 43,827.01
  5. Step 5: Solve for x
    x = 43,827.01/175.84
  6. Step 6: Final answer
    x = 249.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.