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Finding the Fourth Proportional to 176.81, 263.52 and 175.26

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Solution

The fourth proportional to 176.81, 263.52 and 175.26 is: 261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.81 : 263.52 = 175.26 : x
  2. Step 2: Convert to fraction form
    176.81/263.52 = 175.26/x
  3. Step 3: Cross multiply
    176.81x = 263.52 × 175.26
  4. Step 4: Simplify right side
    176.81x = 46,184.52
  5. Step 5: Solve for x
    x = 46,184.52/176.81
  6. Step 6: Final answer
    x = 261.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.