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Finding the Fourth Proportional to 176.43, 263.53 and 175.62

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Solution

The fourth proportional to 176.43, 263.53 and 175.62 is: 262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.43 : 263.53 = 175.62 : x
  2. Step 2: Convert to fraction form
    176.43/263.53 = 175.62/x
  3. Step 3: Cross multiply
    176.43x = 263.53 × 175.62
  4. Step 4: Simplify right side
    176.43x = 46,281.14
  5. Step 5: Solve for x
    x = 46,281.14/176.43
  6. Step 6: Final answer
    x = 262.32

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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.