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Finding the Fourth Proportional to 287.64, 397.07 and 177.15

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Solution

The fourth proportional to 287.64, 397.07 and 177.15 is: 244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 397.07 = 177.15 : x
  2. Step 2: Convert to fraction form
    287.64/397.07 = 177.15/x
  3. Step 3: Cross multiply
    287.64x = 397.07 × 177.15
  4. Step 4: Simplify right side
    287.64x = 70,341.39
  5. Step 5: Solve for x
    x = 70,341.39/287.64
  6. Step 6: Final answer
    x = 244.55

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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.