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Finding the Fourth Proportional to 264.02, 364.34 and 147.58

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Solution

The fourth proportional to 264.02, 364.34 and 147.58 is: 203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.02 : 364.34 = 147.58 : x
  2. Step 2: Convert to fraction form
    264.02/364.34 = 147.58/x
  3. Step 3: Cross multiply
    264.02x = 364.34 × 147.58
  4. Step 4: Simplify right side
    264.02x = 53,769.67
  5. Step 5: Solve for x
    x = 53,769.67/264.02
  6. Step 6: Final answer
    x = 203.66

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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.