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Finding the Fourth Proportional to 176.24, 243 and 130.16

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Solution

The fourth proportional to 176.24, 243 and 130.16 is: 179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 243 = 130.16 : x
  2. Step 2: Convert to fraction form
    176.24/243 = 130.16/x
  3. Step 3: Cross multiply
    176.24x = 243 × 130.16
  4. Step 4: Simplify right side
    176.24x = 31,628.88
  5. Step 5: Solve for x
    x = 31,628.88/176.24
  6. Step 6: Final answer
    x = 179.46

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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.