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Finding the Fourth Proportional to 295.51, 445.02 and 214.91

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Solution

The fourth proportional to 295.51, 445.02 and 214.91 is: 323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.51 : 445.02 = 214.91 : x
  2. Step 2: Convert to fraction form
    295.51/445.02 = 214.91/x
  3. Step 3: Cross multiply
    295.51x = 445.02 × 214.91
  4. Step 4: Simplify right side
    295.51x = 95,639.25
  5. Step 5: Solve for x
    x = 95,639.25/295.51
  6. Step 6: Final answer
    x = 323.64

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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.