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Finding the Fourth Proportional to 387.94, 581.55 and 171.40

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Solution

The fourth proportional to 387.94, 581.55 and 171.40 is: 256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.94 : 581.55 = 171.40 : x
  2. Step 2: Convert to fraction form
    387.94/581.55 = 171.40/x
  3. Step 3: Cross multiply
    387.94x = 581.55 × 171.40
  4. Step 4: Simplify right side
    387.94x = 99,677.67
  5. Step 5: Solve for x
    x = 99,677.67/387.94
  6. Step 6: Final answer
    x = 256.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.