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Finding the Fourth Proportional to 214.74, 295.88 and 145.62

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Solution

The fourth proportional to 214.74, 295.88 and 145.62 is: 200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 295.88 = 145.62 : x
  2. Step 2: Convert to fraction form
    214.74/295.88 = 145.62/x
  3. Step 3: Cross multiply
    214.74x = 295.88 × 145.62
  4. Step 4: Simplify right side
    214.74x = 43,086.05
  5. Step 5: Solve for x
    x = 43,086.05/214.74
  6. Step 6: Final answer
    x = 200.64

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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.