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Finding the Fourth Proportional to 162.62, 242.67 and 145.31

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Solution

The fourth proportional to 162.62, 242.67 and 145.31 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.62 : 242.67 = 145.31 : x
  2. Step 2: Convert to fraction form
    162.62/242.67 = 145.31/x
  3. Step 3: Cross multiply
    162.62x = 242.67 × 145.31
  4. Step 4: Simplify right side
    162.62x = 35,262.98
  5. Step 5: Solve for x
    x = 35,262.98/162.62
  6. Step 6: Final answer
    x = 216.84

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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.