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Finding the Fourth Proportional to 228.22, 342.89 and 145.99

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Solution

The fourth proportional to 228.22, 342.89 and 145.99 is: 219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 342.89 = 145.99 : x
  2. Step 2: Convert to fraction form
    228.22/342.89 = 145.99/x
  3. Step 3: Cross multiply
    228.22x = 342.89 × 145.99
  4. Step 4: Simplify right side
    228.22x = 50,058.51
  5. Step 5: Solve for x
    x = 50,058.51/228.22
  6. Step 6: Final answer
    x = 219.34

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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.