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Finding the Fourth Proportional to 420.16, 630.29 and 176.74

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Solution

The fourth proportional to 420.16, 630.29 and 176.74 is: 265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.16 : 630.29 = 176.74 : x
  2. Step 2: Convert to fraction form
    420.16/630.29 = 176.74/x
  3. Step 3: Cross multiply
    420.16x = 630.29 × 176.74
  4. Step 4: Simplify right side
    420.16x = 111,396.57
  5. Step 5: Solve for x
    x = 111,396.57/420.16
  6. Step 6: Final answer
    x = 265.13

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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.