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Finding the Fourth Proportional to 156.36, 233.82 and 127.20

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Solution

The fourth proportional to 156.36, 233.82 and 127.20 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.36 : 233.82 = 127.20 : x
  2. Step 2: Convert to fraction form
    156.36/233.82 = 127.20/x
  3. Step 3: Cross multiply
    156.36x = 233.82 × 127.20
  4. Step 4: Simplify right side
    156.36x = 29,741.90
  5. Step 5: Solve for x
    x = 29,741.90/156.36
  6. Step 6: Final answer
    x = 190.21

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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.