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Finding the Fourth Proportional to 293.76, 405.54 and 215.00

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Solution

The fourth proportional to 293.76, 405.54 and 215.00 is: 296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 405.54 = 215.00 : x
  2. Step 2: Convert to fraction form
    293.76/405.54 = 215.00/x
  3. Step 3: Cross multiply
    293.76x = 405.54 × 215.00
  4. Step 4: Simplify right side
    293.76x = 87,189.07
  5. Step 5: Solve for x
    x = 87,189.07/293.76
  6. Step 6: Final answer
    x = 296.80

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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.