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Finding the Fourth Proportional to 155.96, 233.40 and 142.64

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Solution

The fourth proportional to 155.96, 233.40 and 142.64 is: 213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 233.40 = 142.64 : x
  2. Step 2: Convert to fraction form
    155.96/233.40 = 142.64/x
  3. Step 3: Cross multiply
    155.96x = 233.40 × 142.64
  4. Step 4: Simplify right side
    155.96x = 33,292.18
  5. Step 5: Solve for x
    x = 33,292.18/155.96
  6. Step 6: Final answer
    x = 213.47

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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.