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Finding the Fourth Proportional to 228.93, 316.06 and 146.10

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Solution

The fourth proportional to 228.93, 316.06 and 146.10 is: 201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.93 : 316.06 = 146.10 : x
  2. Step 2: Convert to fraction form
    228.93/316.06 = 146.10/x
  3. Step 3: Cross multiply
    228.93x = 316.06 × 146.10
  4. Step 4: Simplify right side
    228.93x = 46,177.19
  5. Step 5: Solve for x
    x = 46,177.19/228.93
  6. Step 6: Final answer
    x = 201.71

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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.