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Finding the Fourth Proportional to 229.80, 317 and 151.08

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Solution

The fourth proportional to 229.80, 317 and 151.08 is: 208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 317 = 151.08 : x
  2. Step 2: Convert to fraction form
    229.80/317 = 151.08/x
  3. Step 3: Cross multiply
    229.80x = 317 × 151.08
  4. Step 4: Simplify right side
    229.80x = 47,892.36
  5. Step 5: Solve for x
    x = 47,892.36/229.80
  6. Step 6: Final answer
    x = 208.41

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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.