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Finding the Fourth Proportional to 176.99, 266.53 and 154.44

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Solution

The fourth proportional to 176.99, 266.53 and 154.44 is: 232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.99 : 266.53 = 154.44 : x
  2. Step 2: Convert to fraction form
    176.99/266.53 = 154.44/x
  3. Step 3: Cross multiply
    176.99x = 266.53 × 154.44
  4. Step 4: Simplify right side
    176.99x = 41,160.79
  5. Step 5: Solve for x
    x = 41,160.79/176.99
  6. Step 6: Final answer
    x = 232.56

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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.