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Finding the Fourth Proportional to 313.48, 432.62 and 180.75

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Solution

The fourth proportional to 313.48, 432.62 and 180.75 is: 249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.48 : 432.62 = 180.75 : x
  2. Step 2: Convert to fraction form
    313.48/432.62 = 180.75/x
  3. Step 3: Cross multiply
    313.48x = 432.62 × 180.75
  4. Step 4: Simplify right side
    313.48x = 78,196.07
  5. Step 5: Solve for x
    x = 78,196.07/313.48
  6. Step 6: Final answer
    x = 249.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.