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Finding the Fourth Proportional to 156.51, 233.18 and 154.28

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Solution

The fourth proportional to 156.51, 233.18 and 154.28 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.51 : 233.18 = 154.28 : x
  2. Step 2: Convert to fraction form
    156.51/233.18 = 154.28/x
  3. Step 3: Cross multiply
    156.51x = 233.18 × 154.28
  4. Step 4: Simplify right side
    156.51x = 35,974.43
  5. Step 5: Solve for x
    x = 35,974.43/156.51
  6. Step 6: Final answer
    x = 229.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.