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Finding the Fourth Proportional to 176.16, 243.48 and 152.88

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Solution

The fourth proportional to 176.16, 243.48 and 152.88 is: 211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.16 : 243.48 = 152.88 : x
  2. Step 2: Convert to fraction form
    176.16/243.48 = 152.88/x
  3. Step 3: Cross multiply
    176.16x = 243.48 × 152.88
  4. Step 4: Simplify right side
    176.16x = 37,223.22
  5. Step 5: Solve for x
    x = 37,223.22/176.16
  6. Step 6: Final answer
    x = 211.30

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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.