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Finding the Fourth Proportional to 295.07, 406.83 and 216.32

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Solution

The fourth proportional to 295.07, 406.83 and 216.32 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.07 : 406.83 = 216.32 : x
  2. Step 2: Convert to fraction form
    295.07/406.83 = 216.32/x
  3. Step 3: Cross multiply
    295.07x = 406.83 × 216.32
  4. Step 4: Simplify right side
    295.07x = 88,005.47
  5. Step 5: Solve for x
    x = 88,005.47/295.07
  6. Step 6: Final answer
    x = 298.25

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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.