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Finding the Fourth Proportional to 267.21, 368.71 and 156.66

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Solution

The fourth proportional to 267.21, 368.71 and 156.66 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.21 : 368.71 = 156.66 : x
  2. Step 2: Convert to fraction form
    267.21/368.71 = 156.66/x
  3. Step 3: Cross multiply
    267.21x = 368.71 × 156.66
  4. Step 4: Simplify right side
    267.21x = 57,762.11
  5. Step 5: Solve for x
    x = 57,762.11/267.21
  6. Step 6: Final answer
    x = 216.17

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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.