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Finding the Fourth Proportional to 230.19, 317.75 and 147.30

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Solution

The fourth proportional to 230.19, 317.75 and 147.30 is: 203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.19 : 317.75 = 147.30 : x
  2. Step 2: Convert to fraction form
    230.19/317.75 = 147.30/x
  3. Step 3: Cross multiply
    230.19x = 317.75 × 147.30
  4. Step 4: Simplify right side
    230.19x = 46,804.58
  5. Step 5: Solve for x
    x = 46,804.58/230.19
  6. Step 6: Final answer
    x = 203.33

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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.