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Finding the Fourth Proportional to 340.67, 511.30 and 176.25

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Solution

The fourth proportional to 340.67, 511.30 and 176.25 is: 264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.67 : 511.30 = 176.25 : x
  2. Step 2: Convert to fraction form
    340.67/511.30 = 176.25/x
  3. Step 3: Cross multiply
    340.67x = 511.30 × 176.25
  4. Step 4: Simplify right side
    340.67x = 90,116.63
  5. Step 5: Solve for x
    x = 90,116.63/340.67
  6. Step 6: Final answer
    x = 264.53

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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.