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Finding the Fourth Proportional to 555.16, 832.86 and 165.19

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Solution

The fourth proportional to 555.16, 832.86 and 165.19 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 832.86 = 165.19 : x
  2. Step 2: Convert to fraction form
    555.16/832.86 = 165.19/x
  3. Step 3: Cross multiply
    555.16x = 832.86 × 165.19
  4. Step 4: Simplify right side
    555.16x = 137,580.14
  5. Step 5: Solve for x
    x = 137,580.14/555.16
  6. Step 6: Final answer
    x = 247.82

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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.