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Finding the Fourth Proportional to 202.16, 302.50 and 128.70

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Solution

The fourth proportional to 202.16, 302.50 and 128.70 is: 192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 302.50 = 128.70 : x
  2. Step 2: Convert to fraction form
    202.16/302.50 = 128.70/x
  3. Step 3: Cross multiply
    202.16x = 302.50 × 128.70
  4. Step 4: Simplify right side
    202.16x = 38,931.75
  5. Step 5: Solve for x
    x = 38,931.75/202.16
  6. Step 6: Final answer
    x = 192.58

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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.