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Finding the Fourth Proportional to 656.84, 985.25 and 169.93

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Solution

The fourth proportional to 656.84, 985.25 and 169.93 is: 254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.84 : 985.25 = 169.93 : x
  2. Step 2: Convert to fraction form
    656.84/985.25 = 169.93/x
  3. Step 3: Cross multiply
    656.84x = 985.25 × 169.93
  4. Step 4: Simplify right side
    656.84x = 167,421.49
  5. Step 5: Solve for x
    x = 167,421.49/656.84
  6. Step 6: Final answer
    x = 254.89

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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.