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Finding the Fourth Proportional to 230.36, 317.88 and 147.47

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Solution

The fourth proportional to 230.36, 317.88 and 147.47 is: 203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.36 : 317.88 = 147.47 : x
  2. Step 2: Convert to fraction form
    230.36/317.88 = 147.47/x
  3. Step 3: Cross multiply
    230.36x = 317.88 × 147.47
  4. Step 4: Simplify right side
    230.36x = 46,876.17
  5. Step 5: Solve for x
    x = 46,876.17/230.36
  6. Step 6: Final answer
    x = 203.50

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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.