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Finding the Fourth Proportional to 482.50, 723.75 and 157.89

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Solution

The fourth proportional to 482.50, 723.75 and 157.89 is: 236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.50 : 723.75 = 157.89 : x
  2. Step 2: Convert to fraction form
    482.50/723.75 = 157.89/x
  3. Step 3: Cross multiply
    482.50x = 723.75 × 157.89
  4. Step 4: Simplify right side
    482.50x = 114,272.89
  5. Step 5: Solve for x
    x = 114,272.89/482.50
  6. Step 6: Final answer
    x = 236.84

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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.