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Finding the Fourth Proportional to 176.80, 265.16 and 55.06

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Solution

The fourth proportional to 176.80, 265.16 and 55.06 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 265.16 = 55.06 : x
  2. Step 2: Convert to fraction form
    176.80/265.16 = 55.06/x
  3. Step 3: Cross multiply
    176.80x = 265.16 × 55.06
  4. Step 4: Simplify right side
    176.80x = 14,599.71
  5. Step 5: Solve for x
    x = 14,599.71/176.80
  6. Step 6: Final answer
    x = 82.58

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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.