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Finding the Fourth Proportional to 176.47, 263.31 and 175.45

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Solution

The fourth proportional to 176.47, 263.31 and 175.45 is: 261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.47 : 263.31 = 175.45 : x
  2. Step 2: Convert to fraction form
    176.47/263.31 = 175.45/x
  3. Step 3: Cross multiply
    176.47x = 263.31 × 175.45
  4. Step 4: Simplify right side
    176.47x = 46,197.74
  5. Step 5: Solve for x
    x = 46,197.74/176.47
  6. Step 6: Final answer
    x = 261.79

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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.