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Finding the Fourth Proportional to 294.93, 407.07 and 202.14

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Solution

The fourth proportional to 294.93, 407.07 and 202.14 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.93 : 407.07 = 202.14 : x
  2. Step 2: Convert to fraction form
    294.93/407.07 = 202.14/x
  3. Step 3: Cross multiply
    294.93x = 407.07 × 202.14
  4. Step 4: Simplify right side
    294.93x = 82,285.13
  5. Step 5: Solve for x
    x = 82,285.13/294.93
  6. Step 6: Final answer
    x = 279.00

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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.