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Finding the Fourth Proportional to 156.53, 233.69 and 133.25

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Solution

The fourth proportional to 156.53, 233.69 and 133.25 is: 198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 233.69 = 133.25 : x
  2. Step 2: Convert to fraction form
    156.53/233.69 = 133.25/x
  3. Step 3: Cross multiply
    156.53x = 233.69 × 133.25
  4. Step 4: Simplify right side
    156.53x = 31,137.36
  5. Step 5: Solve for x
    x = 31,137.36/156.53
  6. Step 6: Final answer
    x = 198.92

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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.