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Finding the Fourth Proportional to 282.68, 390.12 and 267.08

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Solution

The fourth proportional to 282.68, 390.12 and 267.08 is: 368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.68 : 390.12 = 267.08 : x
  2. Step 2: Convert to fraction form
    282.68/390.12 = 267.08/x
  3. Step 3: Cross multiply
    282.68x = 390.12 × 267.08
  4. Step 4: Simplify right side
    282.68x = 104,193.25
  5. Step 5: Solve for x
    x = 104,193.25/282.68
  6. Step 6: Final answer
    x = 368.59

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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.