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Finding the Fourth Proportional to 156.78, 233.91 and 154.35

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Solution

The fourth proportional to 156.78, 233.91 and 154.35 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.78 : 233.91 = 154.35 : x
  2. Step 2: Convert to fraction form
    156.78/233.91 = 154.35/x
  3. Step 3: Cross multiply
    156.78x = 233.91 × 154.35
  4. Step 4: Simplify right side
    156.78x = 36,104.01
  5. Step 5: Solve for x
    x = 36,104.01/156.78
  6. Step 6: Final answer
    x = 230.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.