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Finding the Fourth Proportional to 162.81, 245.63 and 144.99

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Solution

The fourth proportional to 162.81, 245.63 and 144.99 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 245.63 = 144.99 : x
  2. Step 2: Convert to fraction form
    162.81/245.63 = 144.99/x
  3. Step 3: Cross multiply
    162.81x = 245.63 × 144.99
  4. Step 4: Simplify right side
    162.81x = 35,614.26
  5. Step 5: Solve for x
    x = 35,614.26/162.81
  6. Step 6: Final answer
    x = 218.75

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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.