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Finding the Fourth Proportional to 230.16, 317.49 and 145.98

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Solution

The fourth proportional to 230.16, 317.49 and 145.98 is: 201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.16 : 317.49 = 145.98 : x
  2. Step 2: Convert to fraction form
    230.16/317.49 = 145.98/x
  3. Step 3: Cross multiply
    230.16x = 317.49 × 145.98
  4. Step 4: Simplify right side
    230.16x = 46,346.40
  5. Step 5: Solve for x
    x = 46,346.40/230.16
  6. Step 6: Final answer
    x = 201.37

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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.