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Finding the Fourth Proportional to 317.02, 437.42 and 186

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Solution

The fourth proportional to 317.02, 437.42 and 186 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.02 : 437.42 = 186 : x
  2. Step 2: Convert to fraction form
    317.02/437.42 = 186/x
  3. Step 3: Cross multiply
    317.02x = 437.42 × 186
  4. Step 4: Simplify right side
    317.02x = 81,360.12
  5. Step 5: Solve for x
    x = 81,360.12/317.02
  6. Step 6: Final answer
    x = 256.64

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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.