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Finding the Fourth Proportional to 267.50, 368.93 and 174.20

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Solution

The fourth proportional to 267.50, 368.93 and 174.20 is: 240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.50 : 368.93 = 174.20 : x
  2. Step 2: Convert to fraction form
    267.50/368.93 = 174.20/x
  3. Step 3: Cross multiply
    267.50x = 368.93 × 174.20
  4. Step 4: Simplify right side
    267.50x = 64,267.66
  5. Step 5: Solve for x
    x = 64,267.66/267.50
  6. Step 6: Final answer
    x = 240.25

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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.