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Finding the Fourth Proportional to 176.63, 265.47 and 173.06

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Solution

The fourth proportional to 176.63, 265.47 and 173.06 is: 260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.63 : 265.47 = 173.06 : x
  2. Step 2: Convert to fraction form
    176.63/265.47 = 173.06/x
  3. Step 3: Cross multiply
    176.63x = 265.47 × 173.06
  4. Step 4: Simplify right side
    176.63x = 45,942.24
  5. Step 5: Solve for x
    x = 45,942.24/176.63
  6. Step 6: Final answer
    x = 260.10

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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.