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Finding the Fourth Proportional to 314.54, 471.86 and 98.16

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Solution

The fourth proportional to 314.54, 471.86 and 98.16 is: 147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.54 : 471.86 = 98.16 : x
  2. Step 2: Convert to fraction form
    314.54/471.86 = 98.16/x
  3. Step 3: Cross multiply
    314.54x = 471.86 × 98.16
  4. Step 4: Simplify right side
    314.54x = 46,317.29
  5. Step 5: Solve for x
    x = 46,317.29/314.54
  6. Step 6: Final answer
    x = 147.26

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Why These Related Problems?

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