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Finding the Fourth Proportional to 349.80, 524.70 and 176.68

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Solution

The fourth proportional to 349.80, 524.70 and 176.68 is: 265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.80 : 524.70 = 176.68 : x
  2. Step 2: Convert to fraction form
    349.80/524.70 = 176.68/x
  3. Step 3: Cross multiply
    349.80x = 524.70 × 176.68
  4. Step 4: Simplify right side
    349.80x = 92,705.31
  5. Step 5: Solve for x
    x = 92,705.31/349.80
  6. Step 6: Final answer
    x = 265.03

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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.