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Finding the Fourth Proportional to 177.44, 264.73 and 157.94

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Solution

The fourth proportional to 177.44, 264.73 and 157.94 is: 235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.44 : 264.73 = 157.94 : x
  2. Step 2: Convert to fraction form
    177.44/264.73 = 157.94/x
  3. Step 3: Cross multiply
    177.44x = 264.73 × 157.94
  4. Step 4: Simplify right side
    177.44x = 41,810.67
  5. Step 5: Solve for x
    x = 41,810.67/177.44
  6. Step 6: Final answer
    x = 235.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.