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Finding the Fourth Proportional to 229.94, 317.40 and 141.42

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Solution

The fourth proportional to 229.94, 317.40 and 141.42 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.94 : 317.40 = 141.42 : x
  2. Step 2: Convert to fraction form
    229.94/317.40 = 141.42/x
  3. Step 3: Cross multiply
    229.94x = 317.40 × 141.42
  4. Step 4: Simplify right side
    229.94x = 44,886.71
  5. Step 5: Solve for x
    x = 44,886.71/229.94
  6. Step 6: Final answer
    x = 195.21

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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.