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Finding the Fourth Proportional to 176.42, 264.64 and 48.18

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Solution

The fourth proportional to 176.42, 264.64 and 48.18 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.42 : 264.64 = 48.18 : x
  2. Step 2: Convert to fraction form
    176.42/264.64 = 48.18/x
  3. Step 3: Cross multiply
    176.42x = 264.64 × 48.18
  4. Step 4: Simplify right side
    176.42x = 12,750.36
  5. Step 5: Solve for x
    x = 12,750.36/176.42
  6. Step 6: Final answer
    x = 72.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.