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Finding the Fourth Proportional to 228.16, 341.98 and 91.05

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Solution

The fourth proportional to 228.16, 341.98 and 91.05 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 341.98 = 91.05 : x
  2. Step 2: Convert to fraction form
    228.16/341.98 = 91.05/x
  3. Step 3: Cross multiply
    228.16x = 341.98 × 91.05
  4. Step 4: Simplify right side
    228.16x = 31,136.11
  5. Step 5: Solve for x
    x = 31,136.11/228.16
  6. Step 6: Final answer
    x = 136.47

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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.