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Finding the Fourth Proportional to 233.54, 349.63 and 156.29

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Solution

The fourth proportional to 233.54, 349.63 and 156.29 is: 233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.54 : 349.63 = 156.29 : x
  2. Step 2: Convert to fraction form
    233.54/349.63 = 156.29/x
  3. Step 3: Cross multiply
    233.54x = 349.63 × 156.29
  4. Step 4: Simplify right side
    233.54x = 54,644.16
  5. Step 5: Solve for x
    x = 54,644.16/233.54
  6. Step 6: Final answer
    x = 233.99

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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.