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Finding the Fourth Proportional to 341.02, 511.60 and 97.55

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Solution

The fourth proportional to 341.02, 511.60 and 97.55 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.02 : 511.60 = 97.55 : x
  2. Step 2: Convert to fraction form
    341.02/511.60 = 97.55/x
  3. Step 3: Cross multiply
    341.02x = 511.60 × 97.55
  4. Step 4: Simplify right side
    341.02x = 49,903.53
  5. Step 5: Solve for x
    x = 49,903.53/341.02
  6. Step 6: Final answer
    x = 146.34

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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.