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Finding the Fourth Proportional to 229.33, 316.55 and 146.48

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Solution

The fourth proportional to 229.33, 316.55 and 146.48 is: 202.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.33 : 316.55 = 146.48 : x
  2. Step 2: Convert to fraction form
    229.33/316.55 = 146.48/x
  3. Step 3: Cross multiply
    229.33x = 316.55 × 146.48
  4. Step 4: Simplify right side
    229.33x = 46,368.67
  5. Step 5: Solve for x
    x = 46,368.67/229.33
  6. Step 6: Final answer
    x = 202.19

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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.