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Finding the Fourth Proportional to 213.64, 294.74 and 151.58

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Solution

The fourth proportional to 213.64, 294.74 and 151.58 is: 209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.64 : 294.74 = 151.58 : x
  2. Step 2: Convert to fraction form
    213.64/294.74 = 151.58/x
  3. Step 3: Cross multiply
    213.64x = 294.74 × 151.58
  4. Step 4: Simplify right side
    213.64x = 44,676.69
  5. Step 5: Solve for x
    x = 44,676.69/213.64
  6. Step 6: Final answer
    x = 209.12

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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.