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Finding the Fourth Proportional to 264.82, 365.63 and 170.34

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Solution

The fourth proportional to 264.82, 365.63 and 170.34 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.82 : 365.63 = 170.34 : x
  2. Step 2: Convert to fraction form
    264.82/365.63 = 170.34/x
  3. Step 3: Cross multiply
    264.82x = 365.63 × 170.34
  4. Step 4: Simplify right side
    264.82x = 62,279.71
  5. Step 5: Solve for x
    x = 62,279.71/264.82
  6. Step 6: Final answer
    x = 235.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.