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Finding the Fourth Proportional to 176.84, 243.52 and 127.63

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Solution

The fourth proportional to 176.84, 243.52 and 127.63 is: 175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.84 : 243.52 = 127.63 : x
  2. Step 2: Convert to fraction form
    176.84/243.52 = 127.63/x
  3. Step 3: Cross multiply
    176.84x = 243.52 × 127.63
  4. Step 4: Simplify right side
    176.84x = 31,080.46
  5. Step 5: Solve for x
    x = 31,080.46/176.84
  6. Step 6: Final answer
    x = 175.75

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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.