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Finding the Fourth Proportional to 340, 510 and 177.64

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Solution

The fourth proportional to 340, 510 and 177.64 is: 266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340 : 510 = 177.64 : x
  2. Step 2: Convert to fraction form
    340/510 = 177.64/x
  3. Step 3: Cross multiply
    340x = 510 × 177.64
  4. Step 4: Simplify right side
    340x = 90,596.40
  5. Step 5: Solve for x
    x = 90,596.40/340
  6. Step 6: Final answer
    x = 266.46

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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.