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Finding the Fourth Proportional to 293.66, 405.14 and 188.74

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Solution

The fourth proportional to 293.66, 405.14 and 188.74 is: 260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.66 : 405.14 = 188.74 : x
  2. Step 2: Convert to fraction form
    293.66/405.14 = 188.74/x
  3. Step 3: Cross multiply
    293.66x = 405.14 × 188.74
  4. Step 4: Simplify right side
    293.66x = 76,466.12
  5. Step 5: Solve for x
    x = 76,466.12/293.66
  6. Step 6: Final answer
    x = 260.39

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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.