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Finding the Fourth Proportional to 133.64, 201.70 and 133.64

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Solution

The fourth proportional to 133.64, 201.70 and 133.64 is: 201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.64 : 201.70 = 133.64 : x
  2. Step 2: Convert to fraction form
    133.64/201.70 = 133.64/x
  3. Step 3: Cross multiply
    133.64x = 201.70 × 133.64
  4. Step 4: Simplify right side
    133.64x = 26,955.19
  5. Step 5: Solve for x
    x = 26,955.19/133.64
  6. Step 6: Final answer
    x = 201.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.