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Finding the Fourth Proportional to 368.05, 507.82 and 210.66

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Solution

The fourth proportional to 368.05, 507.82 and 210.66 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.05 : 507.82 = 210.66 : x
  2. Step 2: Convert to fraction form
    368.05/507.82 = 210.66/x
  3. Step 3: Cross multiply
    368.05x = 507.82 × 210.66
  4. Step 4: Simplify right side
    368.05x = 106,977.36
  5. Step 5: Solve for x
    x = 106,977.36/368.05
  6. Step 6: Final answer
    x = 290.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.