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Finding the Fourth Proportional to 174.84, 240.94 and 131.08

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Solution

The fourth proportional to 174.84, 240.94 and 131.08 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 240.94 = 131.08 : x
  2. Step 2: Convert to fraction form
    174.84/240.94 = 131.08/x
  3. Step 3: Cross multiply
    174.84x = 240.94 × 131.08
  4. Step 4: Simplify right side
    174.84x = 31,582.42
  5. Step 5: Solve for x
    x = 31,582.42/174.84
  6. Step 6: Final answer
    x = 180.64

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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.