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Finding the Fourth Proportional to 207.08, 309.93 and 172.59

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Solution

The fourth proportional to 207.08, 309.93 and 172.59 is: 258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.08 : 309.93 = 172.59 : x
  2. Step 2: Convert to fraction form
    207.08/309.93 = 172.59/x
  3. Step 3: Cross multiply
    207.08x = 309.93 × 172.59
  4. Step 4: Simplify right side
    207.08x = 53,490.82
  5. Step 5: Solve for x
    x = 53,490.82/207.08
  6. Step 6: Final answer
    x = 258.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.