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Finding the Fourth Proportional to 177.26, 242.98 and 176.99

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Solution

The fourth proportional to 177.26, 242.98 and 176.99 is: 242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.26 : 242.98 = 176.99 : x
  2. Step 2: Convert to fraction form
    177.26/242.98 = 176.99/x
  3. Step 3: Cross multiply
    177.26x = 242.98 × 176.99
  4. Step 4: Simplify right side
    177.26x = 43,003.37
  5. Step 5: Solve for x
    x = 43,003.37/177.26
  6. Step 6: Final answer
    x = 242.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.