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Finding the Fourth Proportional to 156.24, 232.50 and 146.04

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Solution

The fourth proportional to 156.24, 232.50 and 146.04 is: 217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.24 : 232.50 = 146.04 : x
  2. Step 2: Convert to fraction form
    156.24/232.50 = 146.04/x
  3. Step 3: Cross multiply
    156.24x = 232.50 × 146.04
  4. Step 4: Simplify right side
    156.24x = 33,954.30
  5. Step 5: Solve for x
    x = 33,954.30/156.24
  6. Step 6: Final answer
    x = 217.32

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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.