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Finding the Fourth Proportional to 293.82, 440.53 and 118.01

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Solution

The fourth proportional to 293.82, 440.53 and 118.01 is: 176.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.82 : 440.53 = 118.01 : x
  2. Step 2: Convert to fraction form
    293.82/440.53 = 118.01/x
  3. Step 3: Cross multiply
    293.82x = 440.53 × 118.01
  4. Step 4: Simplify right side
    293.82x = 51,986.95
  5. Step 5: Solve for x
    x = 51,986.95/293.82
  6. Step 6: Final answer
    x = 176.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.