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Finding the Fourth Proportional to 346.66, 519.63 and 164.17

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Solution

The fourth proportional to 346.66, 519.63 and 164.17 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.66 : 519.63 = 164.17 : x
  2. Step 2: Convert to fraction form
    346.66/519.63 = 164.17/x
  3. Step 3: Cross multiply
    346.66x = 519.63 × 164.17
  4. Step 4: Simplify right side
    346.66x = 85,307.66
  5. Step 5: Solve for x
    x = 85,307.66/346.66
  6. Step 6: Final answer
    x = 246.08

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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.