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Finding the Fourth Proportional to 230.88, 345.60 and 162.24

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Solution

The fourth proportional to 230.88, 345.60 and 162.24 is: 242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.88 : 345.60 = 162.24 : x
  2. Step 2: Convert to fraction form
    230.88/345.60 = 162.24/x
  3. Step 3: Cross multiply
    230.88x = 345.60 × 162.24
  4. Step 4: Simplify right side
    230.88x = 56,070.14
  5. Step 5: Solve for x
    x = 56,070.14/230.88
  6. Step 6: Final answer
    x = 242.85

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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.