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Finding the Fourth Proportional to 153.94, 229.79 and 135.72

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Solution

The fourth proportional to 153.94, 229.79 and 135.72 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.94 : 229.79 = 135.72 : x
  2. Step 2: Convert to fraction form
    153.94/229.79 = 135.72/x
  3. Step 3: Cross multiply
    153.94x = 229.79 × 135.72
  4. Step 4: Simplify right side
    153.94x = 31,187.10
  5. Step 5: Solve for x
    x = 31,187.10/153.94
  6. Step 6: Final answer
    x = 202.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.