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Finding the Fourth Proportional to 295.23, 407.00 and 207.63

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Solution

The fourth proportional to 295.23, 407.00 and 207.63 is: 286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.23 : 407.00 = 207.63 : x
  2. Step 2: Convert to fraction form
    295.23/407.00 = 207.63/x
  3. Step 3: Cross multiply
    295.23x = 407.00 × 207.63
  4. Step 4: Simplify right side
    295.23x = 84,504.37
  5. Step 5: Solve for x
    x = 84,504.37/295.23
  6. Step 6: Final answer
    x = 286.23

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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.