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Finding the Fourth Proportional to 264.64, 364.96 and 177.16

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Solution

The fourth proportional to 264.64, 364.96 and 177.16 is: 244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.64 : 364.96 = 177.16 : x
  2. Step 2: Convert to fraction form
    264.64/364.96 = 177.16/x
  3. Step 3: Cross multiply
    264.64x = 364.96 × 177.16
  4. Step 4: Simplify right side
    264.64x = 64,656.31
  5. Step 5: Solve for x
    x = 64,656.31/264.64
  6. Step 6: Final answer
    x = 244.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.