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Finding the Fourth Proportional to 176.64, 242.40 and 162.24

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Solution

The fourth proportional to 176.64, 242.40 and 162.24 is: 222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 242.40 = 162.24 : x
  2. Step 2: Convert to fraction form
    176.64/242.40 = 162.24/x
  3. Step 3: Cross multiply
    176.64x = 242.40 × 162.24
  4. Step 4: Simplify right side
    176.64x = 39,326.98
  5. Step 5: Solve for x
    x = 39,326.98/176.64
  6. Step 6: Final answer
    x = 222.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.