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Finding the Fourth Proportional to 156.02, 232.49 and 151.13

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Solution

The fourth proportional to 156.02, 232.49 and 151.13 is: 225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.02 : 232.49 = 151.13 : x
  2. Step 2: Convert to fraction form
    156.02/232.49 = 151.13/x
  3. Step 3: Cross multiply
    156.02x = 232.49 × 151.13
  4. Step 4: Simplify right side
    156.02x = 35,136.21
  5. Step 5: Solve for x
    x = 35,136.21/156.02
  6. Step 6: Final answer
    x = 225.20

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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.