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Finding the Fourth Proportional to 230.23, 317.61 and 151.50

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Solution

The fourth proportional to 230.23, 317.61 and 151.50 is: 209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.23 : 317.61 = 151.50 : x
  2. Step 2: Convert to fraction form
    230.23/317.61 = 151.50/x
  3. Step 3: Cross multiply
    230.23x = 317.61 × 151.50
  4. Step 4: Simplify right side
    230.23x = 48,117.92
  5. Step 5: Solve for x
    x = 48,117.92/230.23
  6. Step 6: Final answer
    x = 209.00

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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.