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Finding the Fourth Proportional to 178.25, 245.42 and 157.23

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Solution

The fourth proportional to 178.25, 245.42 and 157.23 is: 216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 245.42 = 157.23 : x
  2. Step 2: Convert to fraction form
    178.25/245.42 = 157.23/x
  3. Step 3: Cross multiply
    178.25x = 245.42 × 157.23
  4. Step 4: Simplify right side
    178.25x = 38,587.55
  5. Step 5: Solve for x
    x = 38,587.55/178.25
  6. Step 6: Final answer
    x = 216.48

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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.