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Finding the Fourth Proportional to 147.00, 202.77 and 117.47

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Solution

The fourth proportional to 147.00, 202.77 and 117.47 is: 162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.00 : 202.77 = 117.47 : x
  2. Step 2: Convert to fraction form
    147.00/202.77 = 117.47/x
  3. Step 3: Cross multiply
    147.00x = 202.77 × 117.47
  4. Step 4: Simplify right side
    147.00x = 23,818.23
  5. Step 5: Solve for x
    x = 23,818.23/147.00
  6. Step 6: Final answer
    x = 162.03

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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.