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Finding the Fourth Proportional to 264.88, 365.61 and 177.58

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Solution

The fourth proportional to 264.88, 365.61 and 177.58 is: 245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.88 : 365.61 = 177.58 : x
  2. Step 2: Convert to fraction form
    264.88/365.61 = 177.58/x
  3. Step 3: Cross multiply
    264.88x = 365.61 × 177.58
  4. Step 4: Simplify right side
    264.88x = 64,925.02
  5. Step 5: Solve for x
    x = 64,925.02/264.88
  6. Step 6: Final answer
    x = 245.11

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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.