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Finding the Fourth Proportional to 177.54, 264.19 and 176.93

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Solution

The fourth proportional to 177.54, 264.19 and 176.93 is: 263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.54 : 264.19 = 176.93 : x
  2. Step 2: Convert to fraction form
    177.54/264.19 = 176.93/x
  3. Step 3: Cross multiply
    177.54x = 264.19 × 176.93
  4. Step 4: Simplify right side
    177.54x = 46,743.68
  5. Step 5: Solve for x
    x = 46,743.68/177.54
  6. Step 6: Final answer
    x = 263.28

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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.