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Finding the Fourth Proportional to 228.38, 342.62 and 66.06

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Solution

The fourth proportional to 228.38, 342.62 and 66.06 is: 99.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.38 : 342.62 = 66.06 : x
  2. Step 2: Convert to fraction form
    228.38/342.62 = 66.06/x
  3. Step 3: Cross multiply
    228.38x = 342.62 × 66.06
  4. Step 4: Simplify right side
    228.38x = 22,631.76
  5. Step 5: Solve for x
    x = 22,631.76/228.38
  6. Step 6: Final answer
    x = 99.10

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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.