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Finding the Fourth Proportional to 295.02, 407.16 and 164.07

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Solution

The fourth proportional to 295.02, 407.16 and 164.07 is: 226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.02 : 407.16 = 164.07 : x
  2. Step 2: Convert to fraction form
    295.02/407.16 = 164.07/x
  3. Step 3: Cross multiply
    295.02x = 407.16 × 164.07
  4. Step 4: Simplify right side
    295.02x = 66,802.74
  5. Step 5: Solve for x
    x = 66,802.74/295.02
  6. Step 6: Final answer
    x = 226.43

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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.