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Finding the Fourth Proportional to 213.04, 294.24 and 155.08

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Solution

The fourth proportional to 213.04, 294.24 and 155.08 is: 214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.04 : 294.24 = 155.08 : x
  2. Step 2: Convert to fraction form
    213.04/294.24 = 155.08/x
  3. Step 3: Cross multiply
    213.04x = 294.24 × 155.08
  4. Step 4: Simplify right side
    213.04x = 45,630.74
  5. Step 5: Solve for x
    x = 45,630.74/213.04
  6. Step 6: Final answer
    x = 214.19

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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.