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Finding the Fourth Proportional to 153.34, 228.64 and 153.14

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Solution

The fourth proportional to 153.34, 228.64 and 153.14 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.34 : 228.64 = 153.14 : x
  2. Step 2: Convert to fraction form
    153.34/228.64 = 153.14/x
  3. Step 3: Cross multiply
    153.34x = 228.64 × 153.14
  4. Step 4: Simplify right side
    153.34x = 35,013.93
  5. Step 5: Solve for x
    x = 35,013.93/153.34
  6. Step 6: Final answer
    x = 228.34

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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.