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Finding the Fourth Proportional to 236.40, 354.61 and 90.16

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Solution

The fourth proportional to 236.40, 354.61 and 90.16 is: 135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.40 : 354.61 = 90.16 : x
  2. Step 2: Convert to fraction form
    236.40/354.61 = 90.16/x
  3. Step 3: Cross multiply
    236.40x = 354.61 × 90.16
  4. Step 4: Simplify right side
    236.40x = 31,969.41
  5. Step 5: Solve for x
    x = 31,969.41/236.40
  6. Step 6: Final answer
    x = 135.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.