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Finding the Fourth Proportional to 214.92, 295.99 and 214.32

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Solution

The fourth proportional to 214.92, 295.99 and 214.32 is: 295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 295.99 = 214.32 : x
  2. Step 2: Convert to fraction form
    214.92/295.99 = 214.32/x
  3. Step 3: Cross multiply
    214.92x = 295.99 × 214.32
  4. Step 4: Simplify right side
    214.92x = 63,436.58
  5. Step 5: Solve for x
    x = 63,436.58/214.92
  6. Step 6: Final answer
    x = 295.16

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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.