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Finding the Fourth Proportional to 245.12, 366.84 and 153.75

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Solution

The fourth proportional to 245.12, 366.84 and 153.75 is: 230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.12 : 366.84 = 153.75 : x
  2. Step 2: Convert to fraction form
    245.12/366.84 = 153.75/x
  3. Step 3: Cross multiply
    245.12x = 366.84 × 153.75
  4. Step 4: Simplify right side
    245.12x = 56,401.65
  5. Step 5: Solve for x
    x = 56,401.65/245.12
  6. Step 6: Final answer
    x = 230.10

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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.