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Finding the Fourth Proportional to 162.61, 242.75 and 135.27

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Solution

The fourth proportional to 162.61, 242.75 and 135.27 is: 201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.61 : 242.75 = 135.27 : x
  2. Step 2: Convert to fraction form
    162.61/242.75 = 135.27/x
  3. Step 3: Cross multiply
    162.61x = 242.75 × 135.27
  4. Step 4: Simplify right side
    162.61x = 32,836.37
  5. Step 5: Solve for x
    x = 32,836.37/162.61
  6. Step 6: Final answer
    x = 201.94

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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.