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Finding the Fourth Proportional to 280, 386.54 and 202.51

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Solution

The fourth proportional to 280, 386.54 and 202.51 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280 : 386.54 = 202.51 : x
  2. Step 2: Convert to fraction form
    280/386.54 = 202.51/x
  3. Step 3: Cross multiply
    280x = 386.54 × 202.51
  4. Step 4: Simplify right side
    280x = 78,278.22
  5. Step 5: Solve for x
    x = 78,278.22/280
  6. Step 6: Final answer
    x = 279.57

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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.