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Finding the Fourth Proportional to 231.05, 345.90 and 154.10

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Solution

The fourth proportional to 231.05, 345.90 and 154.10 is: 230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.05 : 345.90 = 154.10 : x
  2. Step 2: Convert to fraction form
    231.05/345.90 = 154.10/x
  3. Step 3: Cross multiply
    231.05x = 345.90 × 154.10
  4. Step 4: Simplify right side
    231.05x = 53,303.19
  5. Step 5: Solve for x
    x = 53,303.19/231.05
  6. Step 6: Final answer
    x = 230.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.