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Finding the Fourth Proportional to 178.54, 265.67 and 177.93

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Solution

The fourth proportional to 178.54, 265.67 and 177.93 is: 264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 265.67 = 177.93 : x
  2. Step 2: Convert to fraction form
    178.54/265.67 = 177.93/x
  3. Step 3: Cross multiply
    178.54x = 265.67 × 177.93
  4. Step 4: Simplify right side
    178.54x = 47,270.66
  5. Step 5: Solve for x
    x = 47,270.66/178.54
  6. Step 6: Final answer
    x = 264.76

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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.