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Finding the Fourth Proportional to 229.08, 316 and 146.02

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Solution

The fourth proportional to 229.08, 316 and 146.02 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 316 = 146.02 : x
  2. Step 2: Convert to fraction form
    229.08/316 = 146.02/x
  3. Step 3: Cross multiply
    229.08x = 316 × 146.02
  4. Step 4: Simplify right side
    229.08x = 46,142.32
  5. Step 5: Solve for x
    x = 46,142.32/229.08
  6. Step 6: Final answer
    x = 201.42

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Why These Related Problems?

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