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Finding the Fourth Proportional to 152.85, 228.93 and 118.51

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Solution

The fourth proportional to 152.85, 228.93 and 118.51 is: 177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.85 : 228.93 = 118.51 : x
  2. Step 2: Convert to fraction form
    152.85/228.93 = 118.51/x
  3. Step 3: Cross multiply
    152.85x = 228.93 × 118.51
  4. Step 4: Simplify right side
    152.85x = 27,129.92
  5. Step 5: Solve for x
    x = 27,129.92/152.85
  6. Step 6: Final answer
    x = 177.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.