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Finding the Fourth Proportional to 175.82, 264.84 and 165.02

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Solution

The fourth proportional to 175.82, 264.84 and 165.02 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.82 : 264.84 = 165.02 : x
  2. Step 2: Convert to fraction form
    175.82/264.84 = 165.02/x
  3. Step 3: Cross multiply
    175.82x = 264.84 × 165.02
  4. Step 4: Simplify right side
    175.82x = 43,703.07
  5. Step 5: Solve for x
    x = 43,703.07/175.82
  6. Step 6: Final answer
    x = 248.57

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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.