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Finding the Fourth Proportional to 228.22, 314.96 and 135

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Solution

The fourth proportional to 228.22, 314.96 and 135 is: 186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.22 : 314.96 = 135 : x
  2. Step 2: Convert to fraction form
    228.22/314.96 = 135/x
  3. Step 3: Cross multiply
    228.22x = 314.96 × 135
  4. Step 4: Simplify right side
    228.22x = 42,518.93
  5. Step 5: Solve for x
    x = 42,518.93/228.22
  6. Step 6: Final answer
    x = 186.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.