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Finding the Fourth Proportional to 176.04, 242.64 and 120.76

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Solution

The fourth proportional to 176.04, 242.64 and 120.76 is: 166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.04 : 242.64 = 120.76 : x
  2. Step 2: Convert to fraction form
    176.04/242.64 = 120.76/x
  3. Step 3: Cross multiply
    176.04x = 242.64 × 120.76
  4. Step 4: Simplify right side
    176.04x = 29,301.21
  5. Step 5: Solve for x
    x = 29,301.21/176.04
  6. Step 6: Final answer
    x = 166.45

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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.