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Finding the Fourth Proportional to 230.10, 345.16 and 76.03

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Solution

The fourth proportional to 230.10, 345.16 and 76.03 is: 114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.10 : 345.16 = 76.03 : x
  2. Step 2: Convert to fraction form
    230.10/345.16 = 76.03/x
  3. Step 3: Cross multiply
    230.10x = 345.16 × 76.03
  4. Step 4: Simplify right side
    230.10x = 26,242.51
  5. Step 5: Solve for x
    x = 26,242.51/230.10
  6. Step 6: Final answer
    x = 114.05

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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.