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Finding the Fourth Proportional to 156, 216.78 and 154.32

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Solution

The fourth proportional to 156, 216.78 and 154.32 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 216.78 = 154.32 : x
  2. Step 2: Convert to fraction form
    156/216.78 = 154.32/x
  3. Step 3: Cross multiply
    156x = 216.78 × 154.32
  4. Step 4: Simplify right side
    156x = 33,453.49
  5. Step 5: Solve for x
    x = 33,453.49/156
  6. Step 6: Final answer
    x = 214.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.