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Finding the Fourth Proportional to 368.07, 507.93 and 212.82

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Solution

The fourth proportional to 368.07, 507.93 and 212.82 is: 293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.07 : 507.93 = 212.82 : x
  2. Step 2: Convert to fraction form
    368.07/507.93 = 212.82/x
  3. Step 3: Cross multiply
    368.07x = 507.93 × 212.82
  4. Step 4: Simplify right side
    368.07x = 108,094.06
  5. Step 5: Solve for x
    x = 108,094.06/368.07
  6. Step 6: Final answer
    x = 293.68

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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.