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Finding the Fourth Proportional to 215.34, 297.04 and 153.16

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Solution

The fourth proportional to 215.34, 297.04 and 153.16 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 297.04 = 153.16 : x
  2. Step 2: Convert to fraction form
    215.34/297.04 = 153.16/x
  3. Step 3: Cross multiply
    215.34x = 297.04 × 153.16
  4. Step 4: Simplify right side
    215.34x = 45,494.65
  5. Step 5: Solve for x
    x = 45,494.65/215.34
  6. Step 6: Final answer
    x = 211.27

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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.