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Finding the Fourth Proportional to 340.93, 470.64 and 208.16

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Solution

The fourth proportional to 340.93, 470.64 and 208.16 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.93 : 470.64 = 208.16 : x
  2. Step 2: Convert to fraction form
    340.93/470.64 = 208.16/x
  3. Step 3: Cross multiply
    340.93x = 470.64 × 208.16
  4. Step 4: Simplify right side
    340.93x = 97,968.42
  5. Step 5: Solve for x
    x = 97,968.42/340.93
  6. Step 6: Final answer
    x = 287.36

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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.