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Finding the Fourth Proportional to 215.42, 297.06 and 136.64

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Solution

The fourth proportional to 215.42, 297.06 and 136.64 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 297.06 = 136.64 : x
  2. Step 2: Convert to fraction form
    215.42/297.06 = 136.64/x
  3. Step 3: Cross multiply
    215.42x = 297.06 × 136.64
  4. Step 4: Simplify right side
    215.42x = 40,588.79
  5. Step 5: Solve for x
    x = 40,588.79/215.42
  6. Step 6: Final answer
    x = 188.42

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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.