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Finding the Fourth Proportional to 215.34, 296.59 and 186.22

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Solution

The fourth proportional to 215.34, 296.59 and 186.22 is: 256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 296.59 = 186.22 : x
  2. Step 2: Convert to fraction form
    215.34/296.59 = 186.22/x
  3. Step 3: Cross multiply
    215.34x = 296.59 × 186.22
  4. Step 4: Simplify right side
    215.34x = 55,230.99
  5. Step 5: Solve for x
    x = 55,230.99/215.34
  6. Step 6: Final answer
    x = 256.48

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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.