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Finding the Fourth Proportional to 233.24, 349.34 and 210.42

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Solution

The fourth proportional to 233.24, 349.34 and 210.42 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.24 : 349.34 = 210.42 : x
  2. Step 2: Convert to fraction form
    233.24/349.34 = 210.42/x
  3. Step 3: Cross multiply
    233.24x = 349.34 × 210.42
  4. Step 4: Simplify right side
    233.24x = 73,507.07
  5. Step 5: Solve for x
    x = 73,507.07/233.24
  6. Step 6: Final answer
    x = 315.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.