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Finding the Fourth Proportional to 295.01, 444.16 and 214.41

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Solution

The fourth proportional to 295.01, 444.16 and 214.41 is: 322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.01 : 444.16 = 214.41 : x
  2. Step 2: Convert to fraction form
    295.01/444.16 = 214.41/x
  3. Step 3: Cross multiply
    295.01x = 444.16 × 214.41
  4. Step 4: Simplify right side
    295.01x = 95,231.81
  5. Step 5: Solve for x
    x = 95,231.81/295.01
  6. Step 6: Final answer
    x = 322.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.