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Finding the Fourth Proportional to 177.60, 245.08 and 114.51

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Solution

The fourth proportional to 177.60, 245.08 and 114.51 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 245.08 = 114.51 : x
  2. Step 2: Convert to fraction form
    177.60/245.08 = 114.51/x
  3. Step 3: Cross multiply
    177.60x = 245.08 × 114.51
  4. Step 4: Simplify right side
    177.60x = 28,064.11
  5. Step 5: Solve for x
    x = 28,064.11/177.60
  6. Step 6: Final answer
    x = 158.02

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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.