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Finding the Fourth Proportional to 156.45, 233.82 and 144.14

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Solution

The fourth proportional to 156.45, 233.82 and 144.14 is: 215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.45 : 233.82 = 144.14 : x
  2. Step 2: Convert to fraction form
    156.45/233.82 = 144.14/x
  3. Step 3: Cross multiply
    156.45x = 233.82 × 144.14
  4. Step 4: Simplify right side
    156.45x = 33,702.81
  5. Step 5: Solve for x
    x = 33,702.81/156.45
  6. Step 6: Final answer
    x = 215.42

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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.