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Finding the Fourth Proportional to 175.23, 263.81 and 160.35

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Solution

The fourth proportional to 175.23, 263.81 and 160.35 is: 241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.23 : 263.81 = 160.35 : x
  2. Step 2: Convert to fraction form
    175.23/263.81 = 160.35/x
  3. Step 3: Cross multiply
    175.23x = 263.81 × 160.35
  4. Step 4: Simplify right side
    175.23x = 42,301.13
  5. Step 5: Solve for x
    x = 42,301.13/175.23
  6. Step 6: Final answer
    x = 241.40

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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.