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Finding the Fourth Proportional to 214.20, 295.50 and 145.08

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Solution

The fourth proportional to 214.20, 295.50 and 145.08 is: 200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 295.50 = 145.08 : x
  2. Step 2: Convert to fraction form
    214.20/295.50 = 145.08/x
  3. Step 3: Cross multiply
    214.20x = 295.50 × 145.08
  4. Step 4: Simplify right side
    214.20x = 42,871.14
  5. Step 5: Solve for x
    x = 42,871.14/214.20
  6. Step 6: Final answer
    x = 200.15

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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.