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Finding the Fourth Proportional to 176.33, 265.71 and 168.23

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Solution

The fourth proportional to 176.33, 265.71 and 168.23 is: 253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.33 : 265.71 = 168.23 : x
  2. Step 2: Convert to fraction form
    176.33/265.71 = 168.23/x
  3. Step 3: Cross multiply
    176.33x = 265.71 × 168.23
  4. Step 4: Simplify right side
    176.33x = 44,700.39
  5. Step 5: Solve for x
    x = 44,700.39/176.33
  6. Step 6: Final answer
    x = 253.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.