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Finding the Fourth Proportional to 156.02, 233.86 and 114.23

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Solution

The fourth proportional to 156.02, 233.86 and 114.23 is: 171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 233.86 = 114.23 : x
  2. Step 2: Convert to fraction form
    156.02/233.86 = 114.23/x
  3. Step 3: Cross multiply
    156.02x = 233.86 × 114.23
  4. Step 4: Simplify right side
    156.02x = 26,713.83
  5. Step 5: Solve for x
    x = 26,713.83/156.02
  6. Step 6: Final answer
    x = 171.22

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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.