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Finding the Fourth Proportional to 230.90, 318.65 and 152.26

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Solution

The fourth proportional to 230.90, 318.65 and 152.26 is: 210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 318.65 = 152.26 : x
  2. Step 2: Convert to fraction form
    230.90/318.65 = 152.26/x
  3. Step 3: Cross multiply
    230.90x = 318.65 × 152.26
  4. Step 4: Simplify right side
    230.90x = 48,516.09
  5. Step 5: Solve for x
    x = 48,516.09/230.90
  6. Step 6: Final answer
    x = 210.12

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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.