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Finding the Fourth Proportional to 150.94, 207.78 and 114.04

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Solution

The fourth proportional to 150.94, 207.78 and 114.04 is: 156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 207.78 = 114.04 : x
  2. Step 2: Convert to fraction form
    150.94/207.78 = 114.04/x
  3. Step 3: Cross multiply
    150.94x = 207.78 × 114.04
  4. Step 4: Simplify right side
    150.94x = 23,695.23
  5. Step 5: Solve for x
    x = 23,695.23/150.94
  6. Step 6: Final answer
    x = 156.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.