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Finding the Fourth Proportional to 176.36, 263.42 and 149.02

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Solution

The fourth proportional to 176.36, 263.42 and 149.02 is: 222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 263.42 = 149.02 : x
  2. Step 2: Convert to fraction form
    176.36/263.42 = 149.02/x
  3. Step 3: Cross multiply
    176.36x = 263.42 × 149.02
  4. Step 4: Simplify right side
    176.36x = 39,254.00
  5. Step 5: Solve for x
    x = 39,254.00/176.36
  6. Step 6: Final answer
    x = 222.59

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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.