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Finding the Fourth Proportional to 156.71, 233.02 and 150.23

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Solution

The fourth proportional to 156.71, 233.02 and 150.23 is: 223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.71 : 233.02 = 150.23 : x
  2. Step 2: Convert to fraction form
    156.71/233.02 = 150.23/x
  3. Step 3: Cross multiply
    156.71x = 233.02 × 150.23
  4. Step 4: Simplify right side
    156.71x = 35,005.84
  5. Step 5: Solve for x
    x = 35,005.84/156.71
  6. Step 6: Final answer
    x = 223.38

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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.