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Finding the Fourth Proportional to 215.51, 297.09 and 145.53

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Solution

The fourth proportional to 215.51, 297.09 and 145.53 is: 200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.51 : 297.09 = 145.53 : x
  2. Step 2: Convert to fraction form
    215.51/297.09 = 145.53/x
  3. Step 3: Cross multiply
    215.51x = 297.09 × 145.53
  4. Step 4: Simplify right side
    215.51x = 43,235.51
  5. Step 5: Solve for x
    x = 43,235.51/215.51
  6. Step 6: Final answer
    x = 200.62

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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.