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Finding the Fourth Proportional to 275.04, 412.52 and 123.04

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Solution

The fourth proportional to 275.04, 412.52 and 123.04 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.04 : 412.52 = 123.04 : x
  2. Step 2: Convert to fraction form
    275.04/412.52 = 123.04/x
  3. Step 3: Cross multiply
    275.04x = 412.52 × 123.04
  4. Step 4: Simplify right side
    275.04x = 50,756.46
  5. Step 5: Solve for x
    x = 50,756.46/275.04
  6. Step 6: Final answer
    x = 184.54

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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.