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Finding the Fourth Proportional to 148.36, 204.78 and 113.50

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Solution

The fourth proportional to 148.36, 204.78 and 113.50 is: 156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.36 : 204.78 = 113.50 : x
  2. Step 2: Convert to fraction form
    148.36/204.78 = 113.50/x
  3. Step 3: Cross multiply
    148.36x = 204.78 × 113.50
  4. Step 4: Simplify right side
    148.36x = 23,242.53
  5. Step 5: Solve for x
    x = 23,242.53/148.36
  6. Step 6: Final answer
    x = 156.66

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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.