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Finding the Fourth Proportional to 295.08, 407.10 and 207.72

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Solution

The fourth proportional to 295.08, 407.10 and 207.72 is: 286.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.08 : 407.10 = 207.72 : x
  2. Step 2: Convert to fraction form
    295.08/407.10 = 207.72/x
  3. Step 3: Cross multiply
    295.08x = 407.10 × 207.72
  4. Step 4: Simplify right side
    295.08x = 84,562.81
  5. Step 5: Solve for x
    x = 84,562.81/295.08
  6. Step 6: Final answer
    x = 286.58

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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.