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Finding the Fourth Proportional to 264.08, 364.35 and 170.95

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Solution

The fourth proportional to 264.08, 364.35 and 170.95 is: 235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 364.35 = 170.95 : x
  2. Step 2: Convert to fraction form
    264.08/364.35 = 170.95/x
  3. Step 3: Cross multiply
    264.08x = 364.35 × 170.95
  4. Step 4: Simplify right side
    264.08x = 62,282.96
  5. Step 5: Solve for x
    x = 62,282.96/264.08
  6. Step 6: Final answer
    x = 235.85

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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.