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Finding the Fourth Proportional to 162.87, 245.45 and 146.64

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Solution

The fourth proportional to 162.87, 245.45 and 146.64 is: 220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.87 : 245.45 = 146.64 : x
  2. Step 2: Convert to fraction form
    162.87/245.45 = 146.64/x
  3. Step 3: Cross multiply
    162.87x = 245.45 × 146.64
  4. Step 4: Simplify right side
    162.87x = 35,992.79
  5. Step 5: Solve for x
    x = 35,992.79/162.87
  6. Step 6: Final answer
    x = 220.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.