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Finding the Fourth Proportional to 176.09, 262.76 and 175.08

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Solution

The fourth proportional to 176.09, 262.76 and 175.08 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.09 : 262.76 = 175.08 : x
  2. Step 2: Convert to fraction form
    176.09/262.76 = 175.08/x
  3. Step 3: Cross multiply
    176.09x = 262.76 × 175.08
  4. Step 4: Simplify right side
    176.09x = 46,001.83
  5. Step 5: Solve for x
    x = 46,001.83/176.09
  6. Step 6: Final answer
    x = 261.24

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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.