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Finding the Fourth Proportional to 294.30, 405.90 and 207

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Solution

The fourth proportional to 294.30, 405.90 and 207 is: 285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 405.90 = 207 : x
  2. Step 2: Convert to fraction form
    294.30/405.90 = 207/x
  3. Step 3: Cross multiply
    294.30x = 405.90 × 207
  4. Step 4: Simplify right side
    294.30x = 84,021.30
  5. Step 5: Solve for x
    x = 84,021.30/294.30
  6. Step 6: Final answer
    x = 285.50

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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.