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Finding the Fourth Proportional to 317.93, 438.86 and 186.98

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Solution

The fourth proportional to 317.93, 438.86 and 186.98 is: 258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 438.86 = 186.98 : x
  2. Step 2: Convert to fraction form
    317.93/438.86 = 186.98/x
  3. Step 3: Cross multiply
    317.93x = 438.86 × 186.98
  4. Step 4: Simplify right side
    317.93x = 82,058.04
  5. Step 5: Solve for x
    x = 82,058.04/317.93
  6. Step 6: Final answer
    x = 258.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.