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Finding the Fourth Proportional to 174.61, 240.68 and 127.99

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Solution

The fourth proportional to 174.61, 240.68 and 127.99 is: 176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.61 : 240.68 = 127.99 : x
  2. Step 2: Convert to fraction form
    174.61/240.68 = 127.99/x
  3. Step 3: Cross multiply
    174.61x = 240.68 × 127.99
  4. Step 4: Simplify right side
    174.61x = 30,804.63
  5. Step 5: Solve for x
    x = 30,804.63/174.61
  6. Step 6: Final answer
    x = 176.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.