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Finding the Fourth Proportional to 153.24, 228.57 and 146.34

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Solution

The fourth proportional to 153.24, 228.57 and 146.34 is: 218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.24 : 228.57 = 146.34 : x
  2. Step 2: Convert to fraction form
    153.24/228.57 = 146.34/x
  3. Step 3: Cross multiply
    153.24x = 228.57 × 146.34
  4. Step 4: Simplify right side
    153.24x = 33,448.93
  5. Step 5: Solve for x
    x = 33,448.93/153.24
  6. Step 6: Final answer
    x = 218.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.