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Finding the Fourth Proportional to 280.25, 386.93 and 175.38

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Solution

The fourth proportional to 280.25, 386.93 and 175.38 is: 242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.25 : 386.93 = 175.38 : x
  2. Step 2: Convert to fraction form
    280.25/386.93 = 175.38/x
  3. Step 3: Cross multiply
    280.25x = 386.93 × 175.38
  4. Step 4: Simplify right side
    280.25x = 67,858.91
  5. Step 5: Solve for x
    x = 67,858.91/280.25
  6. Step 6: Final answer
    x = 242.14

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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.