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Finding the Fourth Proportional to 176.10, 262.07 and 175.56

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Solution

The fourth proportional to 176.10, 262.07 and 175.56 is: 261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 262.07 = 175.56 : x
  2. Step 2: Convert to fraction form
    176.10/262.07 = 175.56/x
  3. Step 3: Cross multiply
    176.10x = 262.07 × 175.56
  4. Step 4: Simplify right side
    176.10x = 46,009.01
  5. Step 5: Solve for x
    x = 46,009.01/176.10
  6. Step 6: Final answer
    x = 261.27

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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.