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Finding the Fourth Proportional to 180.65, 245.99 and 180.24

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Solution

The fourth proportional to 180.65, 245.99 and 180.24 is: 245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 245.99 = 180.24 : x
  2. Step 2: Convert to fraction form
    180.65/245.99 = 180.24/x
  3. Step 3: Cross multiply
    180.65x = 245.99 × 180.24
  4. Step 4: Simplify right side
    180.65x = 44,336.34
  5. Step 5: Solve for x
    x = 44,336.34/180.65
  6. Step 6: Final answer
    x = 245.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.