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Finding the Fourth Proportional to 175.62, 264.93 and 167.07

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Solution

The fourth proportional to 175.62, 264.93 and 167.07 is: 252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.62 : 264.93 = 167.07 : x
  2. Step 2: Convert to fraction form
    175.62/264.93 = 167.07/x
  3. Step 3: Cross multiply
    175.62x = 264.93 × 167.07
  4. Step 4: Simplify right side
    175.62x = 44,261.86
  5. Step 5: Solve for x
    x = 44,261.86/175.62
  6. Step 6: Final answer
    x = 252.03

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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.