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Finding the Fourth Proportional to 161.40, 242.51 and 146.42

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Solution

The fourth proportional to 161.40, 242.51 and 146.42 is: 220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.40 : 242.51 = 146.42 : x
  2. Step 2: Convert to fraction form
    161.40/242.51 = 146.42/x
  3. Step 3: Cross multiply
    161.40x = 242.51 × 146.42
  4. Step 4: Simplify right side
    161.40x = 35,508.31
  5. Step 5: Solve for x
    x = 35,508.31/161.40
  6. Step 6: Final answer
    x = 220.00

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