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Finding the Fourth Proportional to 180.63, 248.54 and 176.54

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Solution

The fourth proportional to 180.63, 248.54 and 176.54 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 248.54 = 176.54 : x
  2. Step 2: Convert to fraction form
    180.63/248.54 = 176.54/x
  3. Step 3: Cross multiply
    180.63x = 248.54 × 176.54
  4. Step 4: Simplify right side
    180.63x = 43,875.13
  5. Step 5: Solve for x
    x = 43,875.13/180.63
  6. Step 6: Final answer
    x = 242.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.