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Finding the Fourth Proportional to 162.37, 242.05 and 159.87

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Solution

The fourth proportional to 162.37, 242.05 and 159.87 is: 238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.37 : 242.05 = 159.87 : x
  2. Step 2: Convert to fraction form
    162.37/242.05 = 159.87/x
  3. Step 3: Cross multiply
    162.37x = 242.05 × 159.87
  4. Step 4: Simplify right side
    162.37x = 38,696.48
  5. Step 5: Solve for x
    x = 38,696.48/162.37
  6. Step 6: Final answer
    x = 238.33

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