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Finding the Fourth Proportional to 230.22, 345.60 and 102.06

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Solution

The fourth proportional to 230.22, 345.60 and 102.06 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.22 : 345.60 = 102.06 : x
  2. Step 2: Convert to fraction form
    230.22/345.60 = 102.06/x
  3. Step 3: Cross multiply
    230.22x = 345.60 × 102.06
  4. Step 4: Simplify right side
    230.22x = 35,271.94
  5. Step 5: Solve for x
    x = 35,271.94/230.22
  6. Step 6: Final answer
    x = 153.21

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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.