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Finding the Fourth Proportional to 340.14, 469.42 and 207.35

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Solution

The fourth proportional to 340.14, 469.42 and 207.35 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 469.42 = 207.35 : x
  2. Step 2: Convert to fraction form
    340.14/469.42 = 207.35/x
  3. Step 3: Cross multiply
    340.14x = 469.42 × 207.35
  4. Step 4: Simplify right side
    340.14x = 97,334.24
  5. Step 5: Solve for x
    x = 97,334.24/340.14
  6. Step 6: Final answer
    x = 286.16

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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.