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Finding the Fourth Proportional to 213.34, 293.86 and 180.11

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Solution

The fourth proportional to 213.34, 293.86 and 180.11 is: 248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 293.86 = 180.11 : x
  2. Step 2: Convert to fraction form
    213.34/293.86 = 180.11/x
  3. Step 3: Cross multiply
    213.34x = 293.86 × 180.11
  4. Step 4: Simplify right side
    213.34x = 52,925.21
  5. Step 5: Solve for x
    x = 52,925.21/213.34
  6. Step 6: Final answer
    x = 248.08

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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.