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Finding the Fourth Proportional to 215.09, 296.93 and 145.51

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Solution

The fourth proportional to 215.09, 296.93 and 145.51 is: 200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.09 : 296.93 = 145.51 : x
  2. Step 2: Convert to fraction form
    215.09/296.93 = 145.51/x
  3. Step 3: Cross multiply
    215.09x = 296.93 × 145.51
  4. Step 4: Simplify right side
    215.09x = 43,207.39
  5. Step 5: Solve for x
    x = 43,207.39/215.09
  6. Step 6: Final answer
    x = 200.88

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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.