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Finding the Fourth Proportional to 275.02, 412.67 and 138.06

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Solution

The fourth proportional to 275.02, 412.67 and 138.06 is: 207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.02 : 412.67 = 138.06 : x
  2. Step 2: Convert to fraction form
    275.02/412.67 = 138.06/x
  3. Step 3: Cross multiply
    275.02x = 412.67 × 138.06
  4. Step 4: Simplify right side
    275.02x = 56,973.22
  5. Step 5: Solve for x
    x = 56,973.22/275.02
  6. Step 6: Final answer
    x = 207.16

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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.