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Finding the Fourth Proportional to 178.33, 267.50 and 48.33

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Solution

The fourth proportional to 178.33, 267.50 and 48.33 is: 72.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.33 : 267.50 = 48.33 : x
  2. Step 2: Convert to fraction form
    178.33/267.50 = 48.33/x
  3. Step 3: Cross multiply
    178.33x = 267.50 × 48.33
  4. Step 4: Simplify right side
    178.33x = 12,928.03
  5. Step 5: Solve for x
    x = 12,928.03/178.33
  6. Step 6: Final answer
    x = 72.50

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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.