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Finding the Fourth Proportional to 555.16, 832.72 and 170.40

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Solution

The fourth proportional to 555.16, 832.72 and 170.40 is: 255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 832.72 = 170.40 : x
  2. Step 2: Convert to fraction form
    555.16/832.72 = 170.40/x
  3. Step 3: Cross multiply
    555.16x = 832.72 × 170.40
  4. Step 4: Simplify right side
    555.16x = 141,895.49
  5. Step 5: Solve for x
    x = 141,895.49/555.16
  6. Step 6: Final answer
    x = 255.59

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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.