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Finding the Fourth Proportional to 147.70, 203.93 and 135.37

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Solution

The fourth proportional to 147.70, 203.93 and 135.37 is: 186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.70 : 203.93 = 135.37 : x
  2. Step 2: Convert to fraction form
    147.70/203.93 = 135.37/x
  3. Step 3: Cross multiply
    147.70x = 203.93 × 135.37
  4. Step 4: Simplify right side
    147.70x = 27,606.00
  5. Step 5: Solve for x
    x = 27,606.00/147.70
  6. Step 6: Final answer
    x = 186.91

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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.