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Finding the Fourth Proportional to 293.80, 440.74 and 101.38

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Solution

The fourth proportional to 293.80, 440.74 and 101.38 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.80 : 440.74 = 101.38 : x
  2. Step 2: Convert to fraction form
    293.80/440.74 = 101.38/x
  3. Step 3: Cross multiply
    293.80x = 440.74 × 101.38
  4. Step 4: Simplify right side
    293.80x = 44,682.22
  5. Step 5: Solve for x
    x = 44,682.22/293.80
  6. Step 6: Final answer
    x = 152.08

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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.